Bertram Kostant

Q: What Schools Are Affiliated With Bertram Kostant

Bertram Kostant is affiliated with the following schools: University of California, Berkeley, Princeton University, Pennsylvania State University, Massachusetts Institute of Technology, University of Chicago, Purdue University

Bertram Kostant's AcademicInfluence.com Rankings

Bertram Kostant

Mathematics

#208

World Rank

#468

Historical Rank

#99

USA Rank

Algebra

#23

World Rank

#45

Historical Rank

#10

USA Rank

Measure Theory

#464

World Rank

#660

Historical Rank

#194

USA Rank

mathematics Degrees

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Mathematics

Why Is Bertram Kostant Influential?

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According to Wikipedia, Bertram Kostant was an American mathematician who worked in representation theory, differential geometry, and mathematical physics. Early life and education Kostant grew up in New York City, where he graduated from Stuyvesant High School in 1945. He went on to obtain an undergraduate degree in mathematics from Purdue University in 1950. He earned his Ph.D. from the University of Chicago in 1954, under the direction of Irving Segal, where he wrote a dissertation on representations of Lie groups.

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Bertram Kostant's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Quantization and unitary representations (1970) (1073)
Lie Group Representations on Polynomial Rings (1963) (917)
Lie Algebra Cohomology and the Generalized Borel-Weil Theorem (1961) (833)
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group (1959) (741)
The solution to a generalized Toda lattice and representation theory (1979) (616)
On Whittaker vectors and representation theory (1978) (568)
Graded manifolds, graded Lie theory, and prequantization (1977) (540)
Hamiltonian group actions and dynamical systems of calogero type (1978) (459)
Differential Forms on Regular Affine Algebras (1962) (445)
Orbits and Representations Associated with Symmetric Spaces (1971) (436)
On convexity, the Weyl group and the Iwasawa decomposition (1973) (372)
The nil Hecke ring and cohomology of G/P for a Kac-Moody group G. (1986) (310)
On the existence and irreducibility of certain series of representations (1969) (303)
Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras (1987) (270)
A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups (1999) (213)
T-equivariant K-theory of generalized flag varieties. (1987) (208)
Polarization and unitary representations of solvable Lie groups (1971) (200)
A FORMULA FOR THE MULTIPLICITY OF A WEIGHT. (1958) (189)
On normed rings (1987) (155)
Representation Theory of Lie Groups: Quantization and representation theory (1980) (132)
On the tensor product of a finite and an infinite dimensional representation (1975) (127)
Lectures in Modern Analysis and Applications I (1969) (123)
Clifford Algebra Analogue of the Hopf–Koszul–Samelson Theorem, theρ-DecompositionC(g)=End Vρ⊗C(P), and the g-Module Structure of ∧g (1997) (113)
Flag manifold quantum cohomology, the toda lattice, and the representation with highest weight ρ (1996) (112)
Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold (1955) (103)
On Macdonald's η-function formula, the Laplacian and generalized exponents (1976) (101)
The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations (1998) (97)
Verma modules and the existence of quasi-invariant differential operators (1975) (91)
Lie Algebra Cohomology and Generalized Schubert Cells (1963) (89)
Nilpotent orbits, normality and Hamiltonian group actions (1992) (84)
Groups Over Z (2009) (77)
ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I. (1955) (75)
Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II (2004) (73)
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra (2003) (70)
The Capelli identity, tube domains, and the generalized Laplace transform (1991) (70)
A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory (1958) (67)
Dirac Cohomology for the Cubic Dirac Operator (2002) (66)
Eigenvalues of a Laplacian and commutative Lie subalgebras (1965) (64)
Minimal representations, geometric quantization, and unitarity. (1994) (62)
The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group (2011) (56)
The Weyl character formula, the half-spin representations, and equal rank subgroups. (1998) (55)
Jordan algebras and Capelli identities (1993) (48)
Minimal representations of E6, E7, and E8 and the generalized Capelli identity. (1994) (47)
Quantization and representations of solvable Lie groups (1967) (41)
Representation Theory of Lie Groups (1980) (41)
A Generalization of the Bott–Borel–Weil Theorem and Euler Number Multiplets of Representations (2000) (39)
Orbits, Symplectic Structures and Representation Theory (2009) (38)
ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II. (1956) (37)
Γ-EQUIVARIANT ^-THEORY OF GENERALIZED FLAG VARIETIES (2008) (35)
On certain unitary representations which arise from a quantization theory (1970) (32)
T-equivariant K-theory of generalized flag varieties (1987) (30)
On Holonomy and Homogeneous Spaces (1957) (29)
Root Systems for Levi Factors and Borel–de Siebenthal Theory (2007) (28)
The Coxeter element and the branching law for the finite subgroups of SU(2) (2004) (27)
A Lie algebra generalization of the Amitsur-Levitski theorem (1981) (25)
Lagrangian Models of Minimal Representations of E 6 E 7 and E 8 (1995) (25)
The Euler characteristic of an affine space form is zero (1975) (24)
Group Representations in Mathematics and Physics (1970) (23)
A characterization of the classical groups (1958) (22)
A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem (2002) (21)
On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of (2,ℝ) (2000) (21)
The Weyl algebra and the structure of all Lie superalgebras of Riemannian type (2001) (21)
The Graph of the Truncated Icosahedron and the Last Letter of Galois (1995) (21)
THE BEGINNINGS OF THE THEORY OF HOPF ALGEBRAS (2008) (20)
ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. I. (1956) (20)
ON INVARIANT SKEW-TENSORS. (1956) (19)
On the structure of certain subalgebras of a universal enveloping algebra (1976) (19)
On Differential Geometry and Homogeneous Spaces II (1956) (18)
The Principle of Triality and A Distinguished Unitary Representation of SO(4,4) (1988) (18)
A Characterization of Invariant Affine Connections (1960) (16)
The Generalized Cayley Map from an Algebraic Group to its Lie Algebra (2001) (16)
On orbits associated with symmetric spaces (1969) (15)
On representations associated with symmetric spaces (1969) (15)
Weight Varieties (2007) (14)
Differential Operators on Conical Lagrangian Manifolds (1994) (13)
The Nil Hecke Ring and Cohomology of (2003) (13)
Symplectic Projective Orbits (1982) (13)
Experimental evidence for the occurrence of E8 in nature and the radii of the Gosset circles (2010) (12)
Immanant inequalities and 0-weight spaces (1995) (12)
The Schwartzian Derivative and the Conformal Geometry of the Lorentz Hyperboloid (1988) (12)
Structure of the truncated icosahedron (such as fullerene or viral coatings) and a 60-element conjugacy class in PSl(2, 11). (1994) (12)
Groups and the Buckyball (1994) (11)
Center of U(n), Cascade of Orthogonal Roots, and a Construction of Lipsman-Wolf (2012) (11)
The Variety of all Invariant Symplectic Structures on a Homogeneous Space and Normalizers of Isotropy Subgroups (1991) (11)
Minimal coadjoint orbits and symplectic induction (2003) (10)
The McKay correspondence, the Coxeter element and representation theory (2019) (10)
Invariant differential operators and eigenspace representations (1980) (9)
Fomenko–Mischenko Theory, Hessenberg Varieties, and Polarizations (2008) (7)
Center U(\mathfrak{n}), Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf (2013) (7)
The cohomology of infinite dimensional Lie algebras; some questions of integral geometry (1987) (7)
Structure of the truncated icosahedron (e.g. fullerene or C60, viral coatings) and a 60-element conjugacy class inPSl(2, 11) (1995) (7)
The Harish-Chandra character (1980) (7)
DIFFERENTIAL FORMS AND LIE ALGEBRA COHOMOLOGY FOR ALGEBRAIC LINEAR GROUPS (1962) (6)
The coadjoint structure of Borel subgroups and their nilradicals (2012) (6)
To the theory of normed rings. II. On absolutely convergent trigonometrical series and integrals (1987) (5)
Harmonic analysis on graded (or super) Lie groups (1978) (4)
Douglas' solution of the Plateau problem. (1988) (4)
Poisson commutativity and the generalized periodic toda lattice (1982) (4)
On $\wedge \mathfrak{g}$ for a Semisimple Lie Algebra $\mathfrak{g}$, as an Equivariant Module over the Symmetric Algebra $S(\mathfrak{g})$ (2000) (4)
Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation (2011) (3)
On the centralizer of K in U(g) (2007) (3)
On some exotic finite subgroups of E8 and Springer’s regular elements of the Weyl group (2010) (3)
To the theory of normed rings. III. On the ring of almost periodic functions (1987) (3)
On the algebraic set of singular elements in a complex simple Lie algebra (2010) (3)
On one-parametrical groups of operators in a normed space (1987) (3)
The Vanishing of Scalar Curvature on 6 Manifolds, Einstein’s Equation, and Representation Theory (1992) (3)
Generalized Robinson-Schensted Algorithms (2009) (2)
Weyl group characters afforded by zero weight spaces (2018) (2)
Integral geometry and representation theory (1980) (1)
A course in the mathematics of general relativity (1988) (1)
On the theory of characters of commutative topological groups (1987) (1)
Cent U(n) and a construction of Lipsman-Wolf (2011) (1)
Quantization of completely integrable Hamiltonian systems (1982) (1)
Topics in Representation Theory: Cultural Background (0)
Reflecting on mathematics and mathematical physics (2017) (0)
1 2 D ec 2 00 3 Minimal coadjoint orbits and symplectic induction (2003) (0)
Irving Ezra Segal (1918–1998), Volume 46, Number 6 (1998) (0)
A Formula of Gauss-Kummer and the Trace of Certain Intertwining Operators (1990) (0)
ABOUT THE COVER: DO OPERA OMNIA HAVE A FUTURE? (2018) (0)
Equations for a filtration of sheets and the variety of singular elements of a complex semisimple Lie algebra (2015) (0)
DIFFERENTIAL FORMS ON REGULAR (2017) (0)
A Homomorphism in Exterior Algebra (1964) (0)
Collected Papers (2023) (0)
A ug 2 00 2 Dirac Cohomology for the Cubic Dirac Operator (2008) (0)
Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra (2013) (0)
On the Centralizer of $K$ in $U(\frak {g})$ (2006) (0)
Geometric quantization and graded Lie algebras (1976) (0)

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