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BERTRAM KOSTANT

  • Bertram Kostant
  • American Jewish mathematician

    Bertram Kostant (May 24, 1928 – February 2, 2017) was an American mathematician who worked in representation theory, differential geometry, and mathematical

    Bertram Kostant

    Bertram Kostant

    Bertram_Kostant

  • Kostant partition function
  • representation theory, a branch of mathematics, the Kostant partition function, introduced by Bertram Kostant (1958, 1959), of a root system Δ {\displaystyle

    Kostant partition function

    Kostant_partition_function

  • Kostant polynomial
  • In mathematics, the Kostant polynomials, named after Bertram Kostant, provide an explicit basis of the ring of polynomials over the ring of polynomials

    Kostant polynomial

    Kostant_polynomial

  • Jim Simons
  • American mathematician and billionaire (1938–2024)

    from the University of California, Berkeley under the supervision of Bertram Kostant in 1961, at age 23. After graduating from MIT, Simons traveled from

    Jim Simons

    Jim Simons

    Jim_Simons

  • Kostant's convexity theorem
  • Theorem about projections of coadjoint orbits of a connected compact Lie group

    In mathematics, Kostant's convexity theorem, introduced by Bertram Kostant (1973), can be used to derive Lie-theoretical extensions of the Golden–Thompson

    Kostant's convexity theorem

    Kostant's_convexity_theorem

  • Stuyvesant High School
  • Specialized high school in New York City

    Notable scientists among Stuyvesant alumni include mathematicians Bertram Kostant (1945) and Paul Cohen (1950), physicists Brian Greene (1980) and Lisa

    Stuyvesant High School

    Stuyvesant_High_School

  • Quantization (physics)
  • Systematic procedure of turning a classical theory into a quantum one

    can be a general symplectic manifold, was developed in the 1970s by Bertram Kostant and Jean-Marie Souriau. The method proceeds in two stages. First, once

    Quantization (physics)

    Quantization_(physics)

  • An Exceptionally Simple Theory of Everything
  • Fringe theory of physics

    Café hosted some of the more technical discussions. Mathematician Bertram Kostant discussed the background of Lisi's work in a colloquium presentation

    An Exceptionally Simple Theory of Everything

    An Exceptionally Simple Theory of Everything

    An_Exceptionally_Simple_Theory_of_Everything

  • List of Stuyvesant High School people
  • 1992 Steele Prize, 2005 Abel Prize (New York University, emeritus) Bertram Kostant (1945) – lie groups and representation theory; elected in 1978 to the

    List of Stuyvesant High School people

    List_of_Stuyvesant_High_School_people

  • Arlie Petters
  • Belizean-American mathematical physicist

    MIT. Petters earned his Ph.D. in mathematics in 1991 under advisors Bertram Kostant (MIT) and David Spergel (Princeton University). He remained at MIT

    Arlie Petters

    Arlie Petters

    Arlie_Petters

  • Orbit method
  • Construction in representation theory

    by Kirillov (1961, 1962) for nilpotent groups and later extended by Bertram Kostant, Louis Auslander, Lajos Pukánszky and others to the case of solvable

    Orbit method

    Orbit_method

  • List of Purdue University alumni
  • – nanotechnologist Harry Kloor – physicist, chemist, screenwriter Bertram Kostant – mathematician Markus Kuhn – computer scientist Matthew Luckiesh –

    List of Purdue University alumni

    List_of_Purdue_University_alumni

  • Shlomo Sternberg
  • American mathematician (1936–2024)

    symplectic reduction.[citation needed] For instance, together with Bertram Kostant he showed how to use reduction techniques to give a rigorous mathematical

    Shlomo Sternberg

    Shlomo Sternberg

    Shlomo_Sternberg

  • Deaths in February 2017
  • American football player (Pittsburgh Steelers, Detroit Lions), fall. Bertram Kostant, 88, American mathematician. Max Lüscher, 93, Swiss psychotherapist

    Deaths in February 2017

    Deaths_in_February_2017

  • List of people by Erdős number
  • András Kornai Thomas William Körner S. Rao Kosaraju Ronnie Kosloff Bertram Kostant Samuel Kotz Anton Kotzig Dexter Kozen Dmitri Ilyich Kozlov Bryna Kra

    List of people by Erdős number

    List of people by Erdős number

    List_of_people_by_Erdős_number

  • Eugene Dynkin
  • Russian mathematician (1924–2014)

    algebras. Of Dynkin's 1947 paper "Structure of semisimple Lie algebras", Bertram Kostant wrote: In this paper, using only elementary mathematics, and starting

    Eugene Dynkin

    Eugene Dynkin

    Eugene_Dynkin

  • James Lepowsky
  • American mathematician (born 1944)

    his advisors were Bertram Kostant and Sigurdur Helgason. Lepowsky graduated from Stuyvesant High School in 1961, 16 years after Kostant. His current research

    James Lepowsky

    James_Lepowsky

  • Invariant convex cone
  • automorphisms. The study of such cones was initiated by Ernest Vinberg and Bertram Kostant. For a simple Lie algebra, the existence of an invariant convex cone

    Invariant convex cone

    Invariant_convex_cone

  • List of International Congresses of Mathematicians Plenary and Invited Speakers
  • Cromwell Kirby Steven Lawrence Kleiman Shoshichi Kobayashi Max Koecher Bertram Kostant A. I. Kostrikin Tomio Kubota Nicolaas Hendrik Kuiper Masatake Kuranishi

    List of International Congresses of Mathematicians Plenary and Invited Speakers

    List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers

  • Colloquium Lectures (AMS)
  • Annual session of lectures

    Fefferman (Princeton University): The uncertainty principle. 1983 Bertram Kostant (Massachusetts Institute of Technology): On the Coxeter element and

    Colloquium Lectures (AMS)

    Colloquium_Lectures_(AMS)

  • Irving Segal
  • American mathematician

    John C. Baez Robert J. Blattner Lester Dubins Henry Dye Abel Klein Bertram Kostant Ray Kunze Ernest Michael Edward Nelson David Shale Isadore Singer W

    Irving Segal

    Irving Segal

    Irving_Segal

  • Geometric quantization
  • Recipe for constructing a quantum analog of a classical physical theory

    functions. The modern theory of geometric quantization was developed by Bertram Kostant and Jean-Marie Souriau in the 1970s. One of the motivations of the

    Geometric quantization

    Geometric_quantization

  • Littelmann path model
  • later combinatorial formulas of Hans Freudenthal, Robert Steinberg and Bertram Kostant; see Humphreys (1994). An unsatisfactory feature of these formulas

    Littelmann path model

    Littelmann_path_model

  • Hessenberg variety
  • the linear operator X. Later work by T. A. Springer, Dale Peterson, Bertram Kostant, among others, found connections with combinatorics, representation

    Hessenberg variety

    Hessenberg_variety

  • List of people from Brooklyn
  • Kopp (1878–1931) – first female undersheriff in the United States Bertram Kostant (1928–2017) – mathematician Sandy Koufax (born 1935) – Hall of Fame

    List of people from Brooklyn

    List_of_people_from_Brooklyn

  • Supermanifold
  • Supergeometric generalization of a manifold

    is associated with the work of Felix Berezin, Dimitry Leites, and Bertram Kostant. A different, more concrete approach describes a supermanifold in a

    Supermanifold

    Supermanifold

  • Ranee Brylinski
  • American mathematician

    Brylinski–Kostant filtration of weight spaces is named after her. She originally developed this filtration in 1989, motivated by earlier work of Bertram Kostant

    Ranee Brylinski

    Ranee_Brylinski

  • List of theoretical physicists
  • Wolfhart Zimmermann (1928–2016) Alexei Alexeyevich Abrikosov (1928–2017) Bertram Kostant (1928–2017) Silvan S. Schweber (1928–2017) Georg Süßmann [de] (1928–2017)

    List of theoretical physicists

    List_of_theoretical_physicists

  • Harmonic polynomial
  • Polynomial whose Laplacian is zero

    Dirichlet-Type Problems Lie Group Representations of Polynomial Rings by Bertram Kostant published in the American Journal of Mathematics Vol 85 No 3 (July

    Harmonic polynomial

    Harmonic_polynomial

  • List of members of the National Academy of Sciences (mathematics)
  • 1967 Maxim Kontsevich Institut des Hautes Études Scientifiques 2015 Bertram Kostant (died 2017) Massachusetts Institute of Technology 1978 Bryna Kra Northwestern

    List of members of the National Academy of Sciences (mathematics)

    List_of_members_of_the_National_Academy_of_Sciences_(mathematics)

  • List of Jewish mathematicians
  • mathematician Stephan Körner (1913–2000), philosophy of mathematics Bertram Kostant (1928–2017), mathematician Edna Kramer (1902–1984), mathematician Mark

    List of Jewish mathematicians

    List_of_Jewish_mathematicians

  • Louis Auslander
  • American mathematician

    brother Maurice Auslander was also a mathematician. Auslander, Louis & Kostant, Bertram (1971). "Polarization and unitary representations of solvable Lie groups"

    Louis Auslander

    Louis_Auslander

  • Leroy P. Steele Prize
  • Awarded every year by the American Mathematical Society

    (2nd ed.). New York: Interscience Publishers. ISBN 9780471720409. Kostant, Bertram (1975). "On the existence and irreducibility of certain series of representations"

    Leroy P. Steele Prize

    Leroy_P._Steele_Prize

  • David Vogan
  • American mathematician (born 1954)

    He received his Ph.D. from M.I.T. in 1976, under the supervision of Bertram Kostant. In his thesis, he introduced the notion of lowest K type in the course

    David Vogan

    David_Vogan

  • Moss Sweedler
  • American mathematician

    Algebras with Antipode, was written under the direction of thesis advisor Bertram Kostant. Sweedler wrote Hopf Algebras (1969), which became the standard reference

    Moss Sweedler

    Moss_Sweedler

  • Golden–Thompson inequality
  • matrices reduces to the original from Golden and Thompson. Bertram Kostant (1973) used the Kostant convexity theorem to generalize the Golden–Thompson inequality

    Golden–Thompson inequality

    Golden–Thompson_inequality

  • International Colloquium on Group Theoretical Methods in Physics
  • Scientific 30th 2014 Ghent Joshua Zak IOP 31st 2016 Rio de Janeiro Bertram Kostant Springer 32nd 2018 Prague Pavel Winternitz IOP 33rd 2020 Cotonou, cancelled

    International Colloquium on Group Theoretical Methods in Physics

    International_Colloquium_on_Group_Theoretical_Methods_in_Physics

  • Veeravalli S. Varadarajan
  • Indian mathematician (1937–2019)

    in supersymmetry. He introduced Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants along with Bertram Kostant, K. R. Parthasarathy and R. Ranga

    Veeravalli S. Varadarajan

    Veeravalli S. Varadarajan

    Veeravalli_S._Varadarajan

  • Zonal spherical function
  • developed for general semisimple Lie groups by Ray Kunze, Elias Stein and Bertram Kostant. Since these irreducible representations are not tempered, they are

    Zonal spherical function

    Zonal_spherical_function

  • Alex F. T. W. Rosenberg
  • German-American mathematician (1926–2007)

    and others. With Gerhard Hochschild and Bertram Kostant, he is one of the namesakes of the Hochschild–Kostant–Rosenberg theorem, which they published

    Alex F. T. W. Rosenberg

    Alex_F._T._W._Rosenberg

  • Włodzimierz Marek Tulczyjew
  • Polish physicist and mathematician (1931–2022)

    geometric quantization, later developed by Jean-Marie Souriau and Bertram Kostant. Tulczyjew was also one of the first to recognize the relashionship

    Włodzimierz Marek Tulczyjew

    Włodzimierz Marek Tulczyjew

    Włodzimierz_Marek_Tulczyjew

  • Chern's conjecture (affine geometry)
  • is shown by Bertram Kostant and Dennis Sullivan in 1975; the result would also immediately follow from the Auslander conjecture; Kostant and Sullivan

    Chern's conjecture (affine geometry)

    Chern's_conjecture_(affine_geometry)

  • Birgit Speh
  • American mathematician

    career Fields Mathematics Institutions Cornell University Thesis Some Results on Principal Series of GL(n,R)  (1977) Doctoral advisor Bertram Kostant

    Birgit Speh

    Birgit Speh

    Birgit_Speh

  • Israel Gelfand
  • Soviet mathematician (1913–2009)

    Izrail M. (1987), Gindikin, S. G.; Guillemin, V. W.; Kirillov, A. A.; Kostant, Bertram; Sternberg, Shlomo (eds.), Collected papers. Vol. I, Berlin, New York:

    Israel Gelfand

    Israel Gelfand

    Israel_Gelfand

  • List of Guggenheim Fellowships awarded in 1959
  • Portugal Mathematics Lipman Bers New York University Also won in 1978 Bertram Kostant University of California, Berkeley Fields of algebraic geometry, and

    List of Guggenheim Fellowships awarded in 1959

    List_of_Guggenheim_Fellowships_awarded_in_1959

  • Beresford Parlett
  • British applied mathematician (1932–2026)

    2009.06.007. ISSN 0024-3795. S2CID 115167499. arXiv preprint (See Bertram Kostant and Nolan Wallach.) Parlett, Beresford N. (January 1998). The Symmetric

    Beresford Parlett

    Beresford Parlett

    Beresford_Parlett

  • Gelfand–Zeitlin integrable system
  • 106–128, doi:10.1016/0022-1236(83)90092-7, ISSN 0022-1236, MR 0705993 Kostant, Bertram; Wallach, Nolan (2006), "Gelfand-Zeitlin theory from the perspective

    Gelfand–Zeitlin integrable system

    Gelfand–Zeitlin_integrable_system

  • Gerhard Hochschild
  • German-born American mathematician

    cohomology into class field theory. Along with Bertram Kostant and Alex F. T. W. Rosenberg, the Hochschild–Kostant–Rosenberg theorem is named after him. Among

    Gerhard Hochschild

    Gerhard Hochschild

    Gerhard_Hochschild

  • List of Lie groups topics
  • – 1923) Élie Cartan (1869 – 1951) Hermann Weyl (1885 – 1955) Harish-Chandra (1923 – 1983) Lajos Pukánszky (1928 – 1996) Bertram Kostant (1928 – 2017)

    List of Lie groups topics

    List_of_Lie_groups_topics

  • Symplectic spinor bundle
  • rank vector bundle; this is the symplectic spinor construction due to Bertram Kostant. A section of the symplectic spinor bundle Q {\displaystyle {\mathbf

    Symplectic spinor bundle

    Symplectic_spinor_bundle

  • Stephen Rallis
  • American mathematician (1942–2012)

    State University Thesis Orbits and Representations Associated with Symmetric Spaces (1968) Doctoral advisor Bertram Kostant Doctoral students Dihua Jiang

    Stephen Rallis

    Stephen Rallis

    Stephen_Rallis

  • Séminaire Nicolas Bourbaki (1960–1969)
  • transform of homogeneous distributions) Jean Dieudonné, Mémoire de Bertram Kostant sur les applications de la cohomologie des algèbres de Lie réductives

    Séminaire Nicolas Bourbaki (1960–1969)

    Séminaire_Nicolas_Bourbaki_(1960–1969)

  • Marjorie Batchelor
  • American mathematician

    the tradition of change ringing at Smith. She became a student of Bertram Kostant at the Massachusetts Institute of Technology, completing her Ph.D.

    Marjorie Batchelor

    Marjorie_Batchelor

  • Amitsur–Levitzki theorem
  • States that the algebra of n by n matrices satisfies a certain identity of degree 2n

    American Mathematical Society, ISBN 0-8218-0730-7, Zbl 0714.16001 Kostant, Bertram (1958), "A theorem of Frobenius, a theorem of Amitsur–Levitski and

    Amitsur–Levitzki theorem

    Amitsur–Levitzki_theorem

  • ADE classification
  • Mathematical classification

    Lieven (22 April 2009), the monster graph and McKay's observation Kostant, Bertram (1995), "The Graph of the Truncated Icosahedron and the Last Letter

    ADE classification

    ADE classification

    ADE_classification

  • Pierre Ramond
  • American physicist

    Bibcode:1974PhRvD...9.2273K. doi:10.1103/PhysRevD.9.2273. Gross, Benedict; Kostant, Bertram; ——; Sternberg, Shlomo (21 July 1998). "The Weyl character formula

    Pierre Ramond

    Pierre_Ramond

  • Affine manifold
  • Survey". Geometriae Dedicata. 87: 309–333. doi:10.1023/A:1012019004745. Kostant, Bertram; Sullivan, Dennis (1975). "The Euler characteristic of an affine space

    Affine manifold

    Affine_manifold

  • Projective linear group
  • Construction in group theory

    Serre.{{citation}}: CS1 maint: postscript (link) Letter, pp. 411–412 Kostant, Bertram (1995), "The Graph of the Truncated Icosahedron and the Last Letter

    Projective linear group

    Projective linear group

    Projective_linear_group

  • Finite subgroups of SU(2)
  • Use of mathematical groups in magnetochemistry

    {{cite book}}: ISBN / Date incompatibility (help) Chung, Fan R. K.; Kostant, Bertram; Sternberg, Shlomo (1994). "Groups and the buckyball". Lie theory and

    Finite subgroups of SU(2)

    Finite subgroups of SU(2)

    Finite_subgroups_of_SU(2)

  • Plancherel theorem for spherical functions
  • Representation theory

    based on examples, Princeton University Press, ISBN 0-691-09089-0 Kostant, Bertram (1969), "On the existence and irreducibility of certain series of representations"

    Plancherel theorem for spherical functions

    Plancherel_theorem_for_spherical_functions

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