Cohomology of finite groups of Lie type, I

Edward Cline; Brian Parshall; Leonard Scott

Displaying similar documents to “Cohomology of finite groups of Lie type, I”

On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula

O. Gabber, A. Joseph (1981)

Compositio Mathematica

Similarity:

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

Ivan Penkov, Vera Serganova (1989)

Annales de l'institut Fourier

Similarity:

We compute the unique nonzero cohomology group of a generic $G^{0}$ - linearized locally free $𝒪$ -module, where $G^{0}$ is the identity component of a complex classical Lie supergroup $G$ and $P ↪ G^{0}$ is an arbitrary parabolic subsupergroup. In particular we prove that for $G \neq ℙ (m), S ℙ (m)$ this cohomology group is an irreducible $G^{0}$ -module. As an application we generalize the character formula of typical irreducible $G^{0}$ -modules to a natural class of atypical modules arising in this way.

The jacobian modules of a representation of a Lie algebra and geometry of commuting varieties

Dmitrii I. Panyushev (1994)

Compositio Mathematica

Similarity:

The rank of étale cohomology of varieties over $p$ -adic or number fields

C. Soulé (1984)

Compositio Mathematica

Similarity:

Towards the Jantzen conjecture

A. Joseph (1980)

Compositio Mathematica

Similarity:

$C^{- \infty}$ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

Hisayosi Matumoto (1990)

Annales scientifiques de l'École Normale Supérieure

Similarity:

Displaying similar documents to “Cohomology of finite groups of Lie type, I”

On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula

Cohomology of G / P for classical complex Lie supergroups G and characters of some atypical G -modules

The jacobian modules of a representation of a Lie algebra and geometry of commuting varieties

The rank of étale cohomology of varieties over p -adic or number fields

Towards the Jantzen conjecture

C - ∞ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

The rank of étale cohomology of varieties over $p$ -adic or number fields

$C^{- \infty}$ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations