Un ensemble de cinq volumes de contributions est en cours de parution chez Springer sous le titre Collected papers :
Bertram Kostant (auteur), Anthony Joseph, Shrawan Kumar et Michèle Vergne (éditeurs), Collected Papers: Volume I 1955-1966, Volume II 1967-1978, Volume III 1979-1988, Volume IV 1989-1999, Volume V 2000-2007, New York, Springer-Verlag, 2009 (volume i), 2022 (volume ii), 2023 (volume iii), xx+518 (ISBN978-0-387-09582-0, présentation en ligne).
Sélection
[1959] Bertram Kostant, «The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group», Amer. J. Math., vol.81, no4, , p.973-1032.
[1955] Bertram Kostant, «Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold», Trans. Amer. Math. Soc., vol.80, no2, , p.528–542 (DOI10.1090/S0002-9947-1955-0084825-8)
[1959] Bertram Kostant, «A formula for the multiplicity of a weight», Trans. Amer. Math. Soc., vol.93, no6, , p.53–73 (DOI10.1090/S0002-9947-1959-0109192-6)
[1961] Bertram Kostant, «Lie algebra cohomology and the generalized Borel-Weil theorem», Annals of Mathematics, vol.74, no2, , p.329–387 (DOI10.2307/1970237, lire en ligne)
[1961] Bertram Kostant, «Lie group representations on polynomial rings», American Journal of Mathematics, vol.85, no3, , p.327–404 (DOI10.2307/2373130)
[1962] Gerhard Hochschild, Bertram Kostant et Alex Rosenberg, «Differential forms on regular affine algebras», Trans. Amer. Math. Soc., vol.102, no3, , p.383–408
[1969] Bertram Kostant, «On the existence and irreducibility of certain series of representations», Bulletin of the American Mathematical Society, vol.75, no4, , p.627–642 (DOI10.1090/S0002-9904-1969-12235-4)
[1970] Bertram Kostant, «Quantization and unitary representations», dans Lectures in modern analysis and applications III, vol.170, coll.«Lecture Notes in Mathematics» (no170), (ISBN978-3-540-05284-5, DOI10.1007/BFb0079068), p.87–208
[1971] Louis Auslander et Bertram Kostant, «Polarization and unitary representations of solvable Lie groups», Inventiones Mathematicae, vol.14, no4, , p.255–354 (DOI10.1007/BF01389744)
[1971] Bertram Kostant et Stephen Rallis, «Orbits and representations associated avec symmetric spaces», American Journal of Mathematics, vol.93, no3, , p.753–809 (DOI10.2307/2373470)
[1973] Bertram Kostant, «On convexity, the Weyl group and the Iwasawa decomposition», Annales scientifiques de l'École normale supérieure, vol.6, no4, , p.413–455 (DOI10.24033/asens.1254, lire en ligne)
[1977] Bertram Kostant, «Graded manifolds, graded Lie theory, and prequantization», dans Differential Geometrical Methods in Mathematical Physics, coll.«Lecture Notes in Math» (no570), (ISBN978-3-540-08068-8, DOI10.1007/Bfb0087788), p.177–306
[1978] David Kazhdan, Bertram Kostant et Shlomo Sternberg, «Hamiltonian group actions and dynamical systems of Calogero type», Communications on Pure and Applied Mathematics, vol.31, no4, , p.481–507 (DOI10.1002/cpa.3160310405)
[1979] Bertram Kostant, «The solution to a generalized Toda lattice and representation theory», Advances in Mathematics, vol.34, no3, , p.195–338 (DOI10.1016/0001-8708(79)90057-4)
[1986] Bertram Kostant et Shrawan Kumar, «The nil Hecke ring and cohomology of GP for a Kac-Moody group G», Advances in Mathematics, vol.62, no3, , p.187–237 (DOI10.1016/0001-8708(86)90101-5)1986
[1987] Bertram Kostant et Shlomo Sternberg, «Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras», Annals of Physics, vol.176, no1, , p.49–113 (DOI10.1016/0003-4916(87)90178-3)
[2000] Bertram Kostant, «On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group of », Representation Theory, vol.4, , p.181–224 (DOI10.1090/S1088-4165-00-00096-0, lire en ligne)