- Generalizing a theorem of Kostant to arbitrary parabolics🔍
- A Generalization of the Kostant|Macdonald Identity🔍
- A generalization of the Kostant|Macdonald identity🔍
- Irreducible modules and parabolic subgroups🔍
- On Kostant's Theorem for Lie Algebra Cohomology🔍
- arXiv:1510.03331v3 [math.RT] 30 Jun 2016🔍
- The Nil Hecke Ring and Cohomology of G/P for a Kac|Moody Group ...🔍
- an analog of kostant's theorem for the cohomology of quantum groups🔍
Generalizing a theorem of Kostant to arbitrary parabolics
Generalizing a theorem of Kostant to arbitrary parabolics
Generalizing a theorem of Kostant to arbitrary parabolics ... Let g be a simple complex Lie algebra and let Δ be a system of positive roots ...
A Generalization of the Kostant-Macdonald Identity - jstor
motivation for the present note was Kostant's beautiful proof in ref. 10 ... arbitrary such that the variety Xi cut out by Fi, VF,, . . . is smooth and ...
A generalization of the Kostant-Macdonald identity - PNAS
In §4, we recall the calculation of the cohomology algebra H(X, C) on s and then prove Theorems 1, 2, and 2'. Theorem 3 is proved in §5. In §6, we present ...
Irreducible modules and parabolic subgroups - ScienceDirect
... parabolics) rather than the usual single Borel or Cartan subgroup. The ... Kostant B. Lie algebra cohomology and the generalized Bol-Weil theorem. Ann ...
On Kostant's Theorem for Lie Algebra Cohomology - OU Math
The aim of this paper is to investigate and compare the cohomology of the unipotent radical of parabolic subalgebras over C and Fp. We present a new proof of ...
arXiv:1510.03331v3 [math.RT] 30 Jun 2016
the Peter–Weyl theorem, Kostant's theorem can be used to proof Bott's generalized ... portance of Kostant's theorem in the theory of parabolic ...
The Nil Hecke Ring and Cohomology of G/P for a Kac-Moody Group ...
One can easily generalize Theorem (5.12) so that an arbitrary parabolic subgroup P ... KOSTANT, Lie algebra cohomology and generalized. Schubert cells, Ann.
an analog of kostant's theorem for the cohomology of quantum groups
Recently the authors [UGA] provided a proof of. Kostant's theorem by utilizing linkage in the parabolic category OJ . In this paper we will ...
The Strong Bernstein-Gelfand-Gelfand Resolution for Generalized ...
5.2, we obtain the following theorem, which generalizes Kostant's famous theorem on Lie algebra homology to arbitrary symmetrizable GKM algebras. Theorem 5 ...
On Kostant's theorem for the Lie superalgebra Q(n) - ScienceDirect
In this paper we study finite W-algebras for basic superalgebras and Q ( n ) associated with the regular even nilpotent coadjoint orbits.
T-equivariant K-theory of generalized flag varieties - NCBI
ABSTRACT. Let G be a Kac-Moody group with Borel subgroup B and compact maximal torus T. Analogous to Kos- tant and Kumar [Kostant, B. & Kumar, S. (1986) Proc.
A Real Analog of Kostant's Version of the Bott–Borel–Weil Theorem
Abstract. We show how to describe the cohomology of the nilradical of a parabolic subalgebra a semisimple Lie algebra with coefficients in an irreducible.
A generalization of Kostant theorem to integral cohomology - arXiv
This generalizes Kostant theorem to the integral cohomology of the positive system. Comments: 22 pages. Subjects: Algebraic Topology (math.AT) ...
Kostant's problem for fully commutative permutations
of such bicategories generalizing the Barbasch–Vogan theorem for Lie algebras. 1. Introduction and description of the results. Kostant's problem, as defined ...
lecture notes on cherednik algebras - MIT Mathematics
Note that by Chevalley's theorem, a parabolic subgroup of a complex (respectively, real) ... This theorem is obviously a generalization of Theorem 2.1 about W = ...
The $$\mathfrak{n}$$ -Homology of Harish-Chandra modules ...
The $$\mathfrak{n}$$ -Homology of Harish-Chandra modules: Generalizing a theorem of Kostant. David H Collingwood 1, 2. Show full list: 1 author. Hide authors ...
Convexity theorems for semisimple symmetric spaces
The latter result generalized Kostant's non-linear convexity theorem for the Iwasawa decomposition of a real semisimple Lie group. The present ...
Γ-EQUIVARIANT ^-THEORY OF GENERALIZED FLAG VARIETIES
We refer to this as the finite case. In general, one has subalgebras of g: f) c b C p, the Cartan subalgebra, the Borel subalgebra, and a parabolic subalgebra,.
Generalized Harish-Chandra Modules - UC Berkeley math
Kostant theorem, published in [GQS]. Let k be a subalgebra of g. We call M a (g, k)-module, or a generalized. Harish-Chandra module for the pair (g, k), if k ...
Kostant section, universal centralizer, and a modular derived ... - HAL
We also describe the Lie algebra of Ireg in terms of the cotangent bundle to g/G (see Theorem 3.4.2), generalizing results in characteristic 0 ...