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

Ivan Penkov; Vera Serganova

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The $n$ -cohomology of representations with an infinitesimal character

William Casselman, M. Scott Osborne (1975)

Compositio Mathematica

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Cohomology of finite groups of Lie type, I

Edward Cline, Brian Parshall, Leonard Scott (1975)

Publications Mathématiques de l'IHÉS

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Generalized Verma modules, loop space cohomology and MacDonald-type identities

J. Lepowsky (1979)

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Classification of irreducible weight modules

Olivier Mathieu (2000)

Annales de l'institut Fourier

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Let $𝔤$ be a reductive Lie algebra and let $𝔥$ be a Cartan subalgebra. A $𝔤$ -module $M$ is called a if and only if $M = \oplus_{λ} M_{λ}$ , where each weight space $M_{λ}$ is finite dimensional. The main result of the paper is the classification of all simple weight $𝔤$ -modules. Further, we show that their characters can be deduced from characters of simple modules in category $𝒪$ .

On the ghost centre of Lie superalgebras

Maria Gorelik (2000)

Annales de l'institut Fourier

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We study the invariants of the universal enveloping algebra of a Lie superalgebra with respect to a certain “twisted” adjoint action.

$C^{- \infty}$ -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

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Displaying similar documents to “Cohomology of G / P for classical complex Lie supergroups G and characters of some atypical G -modules”

The n -cohomology of representations with an infinitesimal character

Cohomology of finite groups of Lie type, I

Generalized Verma modules, loop space cohomology and MacDonald-type identities

Classification of irreducible weight modules

On the ghost centre of Lie superalgebras

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

Displaying similar documents to “Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules”

The $n$ -cohomology of representations with an infinitesimal character

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