The Nil Hecke Ring and Cohomology of G/P for a Kac|Moody Group ...

The nil Hecke ring and cohomology of GP for a Kac-Moody group G

A Bruhat decomposition for the loop space of a compact group—A new approach to results of Bott ... Proc. Nat. Acad. Sci. U.S.A., 72 (1975), pp. 4716-4717.

The Nil Hecke Ring and Cohomology of G/P for a Kac-Moody Group ...

Identification of cohomology algebra. H*(G/P,,. C) with Gr @{ IV:.). 3. Determination of the integral. 4. The nil Hecke ring R ...

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G

Let G be the group with Borel subgroup B, associated to a Kac-Moody Lie algebra [unk] (with Weyl group W and Cartan subalgebra [unk]). Then H*(G/B) has, ...

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G. (Kac-Moody algebra/Borel subalgebra/cohomology algebra/Schubert cells/smash product).

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G

Let G be the group with Borel subgroup B, associated to a Kac-Moody Lie algebra [unk] (with Weyl group W and Cartan subalgebra [unk]). Then H(*)(G/B) has, ...

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G

PDF | Let G be the group with Borel subgroup B, associated to a Kac-Moody Lie algebra [unk] (with Weyl group W and Cartan subalgebra [unk]). Then.

(Open Access) The nil Hecke ring and cohomology of G/P for a Kac ...

DOI: 10.1073/PNAS.83.6.1543) Let G be the group with Borel subgroup B, associated to a Kac-Moody Lie algebra [unk] (with Weyl group W and Cartan subalgebra ...

(Open Access) The nil Hecke ring and cohomology of GP for a Kac ...

TL;DR: In this paper, a group of linear transformations on a finite dimensional real or complex vector space X is considered as a G-module, and S is the sub- ...

The nil Hecke Ring and Cohomology of G/P for a Kac--Moody group G

Let G be the group with Borel subgroup B, associated to a Kac--Moody Lie algebra g (with Weyl group W and Cartan subalgebra h). Then H* (G/B) has, ...

The nil Hecke ring and cohomology of G/P for a Kac-Moody group G

摘要. Let G be the group with Borel subgroup B, associated to a Kac--Moody Lie algebra g (with Weyl group W and Cartan suba.

The nil Hecke ring and cohomology of GP for a Kac-Moody group G ...

The nil Hecke ring and cohomology of GP for a Kac-Moody group G. Bertram Kostant, Shrawan Kumar. Publication; Citations; Related publications. Published in.

The nil Hecke ring and singularity of Schubert varieties - SpringerLink

Kazhdan, D., Lusztig, G.: Representations of Coxeter groups and Hecke algebras. ... ring and cohomology of G/P for a Kac-Moody group G. Adv. Math. 62 (1986) 187 ...

cohomology operations and the nil-hecke algebra

The Nil-Hecke Algebra can be seen as an algebra of natural operations on the cohomology rings of flag varieties of a compact Lie group (or a Kac-Moody group [2]) ...

Hecke algebra and $H^*(G/B) - MathOverflow

... Kac-Moody framework. See in particular: Bertram Kostant and Shrawan Kumar, The nil Hecke ring and cohomology of G/P for a Kac-Moody group G, Adv ...

arXiv:alg-geom/9503015v1 24 Mar 1995

[KK1] Kostant, B., and Kumar, S., The nil Hecke ring and cohomology of G/P for a Kac–Moody group G, Advances in Math. 62 (1986), 187–237. [KK2] Kostant, B ...

The Nil Hecke Ring and Singularity of Schubert Varieties

Kostant, B., and Kumar, S., The nil Hecke ring and cohomology of G/P for a Kac-Moody group G, Advances in Math. 62 (1986), 187–237. Article MathSciNet MATH ...

Weyl Groups and the Nil-Hecke Algebra - Scholars Archive

[5] Let group G act on a set X. The group action is said to be faithful ... The nil Hecke ring and cohomology of G/P for a Kac-Moody group G*, Advances ...

Linear Algebraic Groups and Related Structures

Math. 21:287-301, 1973] and [Kostant, Kumar, The nil Hecke ring and cohomology of G/P for a Kac-Moody group ...

Affine nil-Hecke algebras and Quantum cohomology - ResearchGate

... ring of the mdouli stack of elliptic curves. View. Show abstract. The nil Hecke ring and cohomology of G/P for a Kac-Moody group G. Article.

modules for the dual nil hecke ring - University of Notre Dame

The definition of Λ was motivated by geometric questions; if W is the Weyl group of a suitable Kac-Moody group G, ΛL ⊗S R is isomorphic to the cohomology ring ...