#10,281

Most Influential Person

American mathematician

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.

- Quantization and unitary representations (1970) (1028)
- Lie Group Representations on Polynomial Rings (1963) (809)
- Lie Algebra Cohomology and the Generalized Borel-Weil Theorem (1961) (787)
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group (1959) (679)
- The solution to a generalized Toda lattice and representation theory (1979) (583)
- On Whittaker vectors and representation theory (1978) (526)
- Graded manifolds, graded Lie theory, and prequantization (1977) (520)
- Hamiltonian group actions and dynamical systems of calogero type (1978) (427)
- Orbits and Representations Associated with Symmetric Spaces (1971) (422)
- Differential Forms on Regular Affine Algebras (1962) (422)
- On convexity, the Weyl group and the Iwasawa decomposition (1973) (355)
- On the existence and irreducibility of certain series of representations (1969) (285)
- Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras (1987) (254)
- The nil Hecke ring and cohomology of G/P for a Kac-Moody group G. (1986) (239)
- A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups (1999) (199)
- Polarization and unitary representations of solvable Lie groups (1971) (195)
- T-equivariant K-theory of generalized flag varieties. (1987) (186)
- A FORMULA FOR THE MULTIPLICITY OF A WEIGHT. (1958) (181)
- Representation Theory of Lie Groups: Quantization and representation theory (1980) (132)
- On normed rings (1987) (124)
- On the tensor product of a finite and an infinite dimensional representation (1975) (123)
- Lectures in Modern Analysis and Applications I (1969) (115)
- Clifford Algebra Analogue of the Hopf–Koszul–Samelson Theorem, theρ-DecompositionC(g)=End Vρ⊗C(P), and the g-Module Structure of ∧g (1997) (105)
- Flag manifold quantum cohomology, the toda lattice, and the representation with highest weight ρ (1996) (101)
- Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold (1955) (95)
- On Macdonald's η-function formula, the Laplacian and generalized exponents (1976) (93)
- The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations (1998) (88)
- Verma modules and the existence of quasi-invariant differential operators (1975) (85)
- Lie Algebra Cohomology and Generalized Schubert Cells (1963) (84)
- ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I. (1955) (70)
- Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II (2004) (68)
- A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory (1958) (65)
- Groups Over Z (2009) (64)
- Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra (2003) (63)
- The Capelli identity, tube domains, and the generalized Laplace transform (1991) (62)
- Dirac Cohomology for the Cubic Dirac Operator (2002) (62)
- Eigenvalues of a Laplacian and commutative Lie subalgebras (1965) (57)
- Minimal representations, geometric quantization, and unitarity. (1994) (57)
- Nilpotent orbits, normality and Hamiltonian group actions (1992) (56)
- The Weyl character formula, the half-spin representations, and equal rank subgroups. (1998) (52)
- The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group (2011) (46)
- Quantization and representations of solvable Lie groups (1967) (42)
- Jordan algebras and Capelli identities (1993) (42)
- Representation Theory of Lie Groups (1980) (42)
- T-equivariant K-theory of generalized flag varieties (1987) (42)
- Minimal representations of E6, E7, and E8 and the generalized Capelli identity. (1994) (42)
- A Generalization of the Bott–Borel–Weil Theorem and Euler Number Multiplets of Representations (2000) (37)
- Orbits, Symplectic Structures and Representation Theory (2009) (36)
- ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II. (1956) (32)
- On certain unitary representations which arise from a quantization theory (1970) (30)
- The Coxeter element and the branching law for the finite subgroups of SU(2) (2004) (26)
- A Lie algebra generalization of the Amitsur-Levitski theorem (1981) (25)
- The Euler characteristic of an affine space form is zero (1975) (25)
- Lagrangian Models of Minimal Representations of E 6 E 7 and E 8 (1995) (25)
- On Holonomy and Homogeneous Spaces (1957) (24)
- Group Representations in Mathematics and Physics (1970) (23)
- Root Systems for Levi Factors and Borel–de Siebenthal Theory (2007) (23)
- A characterization of the classical groups (1958) (21)
- THE BEGINNINGS OF THE THEORY OF HOPF ALGEBRAS (2008) (20)
- On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of (2,ℝ) (2000) (20)
- The Weyl algebra and the structure of all Lie superalgebras of Riemannian type (2001) (20)
- The Graph of the Truncated Icosahedron and the Last Letter of Galois (1995) (20)
- ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. I. (1956) (19)
- On the structure of certain subalgebras of a universal enveloping algebra (1976) (18)
- On Differential Geometry and Homogeneous Spaces II (1956) (18)
- A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem (2002) (17)
- The Principle of Triality and A Distinguished Unitary Representation of SO(4,4) (1988) (17)
- ON INVARIANT SKEW-TENSORS. (1956) (16)
- The Generalized Cayley Map from an Algebraic Group to its Lie Algebra (2001) (16)
- On orbits associated with symmetric spaces (1969) (15)
- A Characterization of Invariant Affine Connections (1960) (15)
- The Nil Hecke Ring and Cohomology of (2003) (14)
- Weight Varieties (2007) (14)
- On representations associated with symmetric spaces (1969) (14)
- Symplectic Projective Orbits (1982) (13)
- The Schwartzian Derivative and the Conformal Geometry of the Lorentz Hyperboloid (1988) (12)
- Immanant inequalities and 0-weight spaces (1995) (12)
- Differential Operators on Conical Lagrangian Manifolds (1994) (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)
- The Variety of all Invariant Symplectic Structures on a Homogeneous Space and Normalizers of Isotropy Subgroups (1991) (11)
- Center of U(n), Cascade of Orthogonal Roots, and a Construction of Lipsman-Wolf (2012) (9)
- Invariant differential operators and eigenspace representations (1980) (9)
- Minimal coadjoint orbits and symplectic induction (2003) (9)
- Experimental evidence for the occurrence of E8 in nature and the radii of the Gosset circles (2010) (9)
- The McKay correspondence, the Coxeter element and representation theory (2019) (8)
- Γ-EQUIVARIANT ^-THEORY OF GENERALIZED FLAG VARIETIES (2008) (8)
- The cohomology of infinite dimensional Lie algebras; some questions of integral geometry (1987) (8)
- 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) (6)
- Fomenko–Mischenko Theory, Hessenberg Varieties, and Polarizations (2008) (6)
- DIFFERENTIAL FORMS AND LIE ALGEBRA COHOMOLOGY FOR ALGEBRAIC LINEAR GROUPS (1962) (6)
- To the theory of normed rings. II. On absolutely convergent trigonometrical series and integrals (1987) (5)
- The coadjoint structure of Borel subgroups and their nilradicals (2012) (5)
- 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)
- Douglas' solution of the Plateau problem. (1988) (4)
- Harmonic analysis on graded (or super) Lie groups (1978) (4)
- Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation (2011) (3)
- On the algebraic set of singular elements in a complex simple Lie algebra (2010) (3)
- The Vanishing of Scalar Curvature on 6 Manifolds, Einstein’s Equation, and Representation Theory (1992) (3)
- On one-parametrical groups of operators in a normed space (1987) (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) (2)
- Weyl group characters afforded by zero weight spaces (2018) (2)
- Generalized Robinson-Schensted Algorithms (2009) (2)
- Center U(\mathfrak{n}), Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf (2013) (2)
- To the theory of normed rings. III. On the ring of almost periodic functions (1987) (2)
- Irving Ezra Segal (1918–1998), Volume 46, Number 6 (1998) (1)
- A course in the mathematics of general relativity (1988) (1)
- Cent U(n) and a construction of Lipsman-Wolf (2011) (1)
- Quantization of completely integrable Hamiltonian systems (1982) (1)
- Integral geometry and representation theory (1980) (1)
- On the theory of characters of commutative topological groups (1987) (1)
- Topics in Representation Theory: Cultural Background (0)
- A ug 2 00 2 Dirac Cohomology for the Cubic Dirac Operator (2008) (0)
- A Formula of Gauss-Kummer and the Trace of Certain Intertwining Operators (1990) (0)
- Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra (2013) (0)
- 1 2 D ec 2 00 3 Minimal coadjoint orbits and symplectic induction (2003) (0)
- A Homomorphism in Exterior Algebra (1964) (0)
- On the Centralizer of $K$ in $U(\frak {g})$ (2006) (0)
- ABOUT THE COVER: DO OPERA OMNIA HAVE A FUTURE? (2018) (0)
- Geometric quantization and graded Lie algebras (1976) (0)
- DIFFERENTIAL FORMS ON REGULAR (2017) (0)
- Equations for a filtration of sheets and the variety of singular elements of a complex semisimple Lie algebra (2015) (0)
- Reflecting on mathematics and mathematical physics (2017) (0)

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