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Displaying 161 – 180 of 226

Sur l'indice de certaines algèbres de Lie

Patrice Tauvel, Rupert W.T. Yu (2004)

Annales de l’institut Fourier

On donne une majoration de l'indice de certaines algèbres de Lie introduites par V. Dergachev, A. Kirillov et D. Panyushev. On en déduit la preuve d'une conjecture de D. Panyushev. Nous formulons aussi une conjecture concernant l'indice de ces algèbres, et la prouvons dans des cas particuliers. Enfin, nous donnons un résultat concernant l'indice des sous-algèbres paraboliques d'une algèbre de Lie semi-simple.

Tensor products of finite and infinite dimensional representations of semisimple Lie algebras

J. N. Bernstein, S. I. Gelfand (1980)

Compositio Mathematica

The BGG diagram for contact orhogonal geometry of even dimension

Dalibor Šmíd (2004)

Acta Universitatis Carolinae. Mathematica et Physica

The catenarity of the positive part of the quantized enveloping algebra of a simple Lie algebra of type $B_{2}$ . (La caténarité de la partie positive de l'algèbre enveloppante quantifiée de l'algèbre de Lie simple de type $B_{2}$ .)

Malliavin, Marie Paule (1994)

Beiträge zur Algebra und Geometrie

The center of the universal enveloping algebra of a Lie algebra in characteristic $p$

F. D. Veldkamp (1972)

Annales scientifiques de l'École Normale Supérieure

The closure diagrams for nilpotent orbits of real forms of $E_{6}$ .

Đoković, Dragomir Ž. (2001)

Journal of Lie Theory

The closure diagrams for nilpotent orbits of real forms of $F_{4}$ and $G_{2}$ .

Đoković, Dragomir Ž. (2000)

Journal of Lie Theory

The Enright Functor on the Bernstein-Gelfand-Gelfand Category ... .

A. Joseph (1982)

Inventiones mathematicae

The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras.

Hilgert, Joachim, Neeb, Karl-Hermann, Ørsted, Bent (1994)

Journal of Lie Theory

The groups of automorphisms of the Witt $W_{n}$ and Virasoro Lie algebras

Vladimir V. Bavula (2016)

Czechoslovak Mathematical Journal

Let $L_{n} = K [x_{1}^{\pm 1}, ..., x_{n}^{\pm 1}]$ be a Laurent polynomial algebra over a field $K$ of characteristic zero, $W_{n} : = {Der}_{K} (L_{n})$ the Lie algebra of $K$ -derivations of the algebra $L_{n}$ , the so-called Witt Lie algebra, and let $Vir$ be the Virasoro Lie algebra which is a $1$ -dimensional central extension of the Witt Lie algebra. The Lie algebras $W_{n}$ and $Vir$ are infinite dimensional Lie algebras. We prove that the following isomorphisms of the groups of Lie algebra automorphisms hold: ${Aut}_{Lie} (Vir) ≃ {Aut}_{Lie} (W_{1}) ≃ {\pm 1} ⋉ K^{*}$ , and give a short proof that ${Aut}_{Lie} (W_{n}) ≃ {Aut}_{K - alg} (L_{n}) ≃ {GL}_{n} (ℤ) ⋉ K^{* n}$ .

The Hurwitz determinants and the signatures of irreducible representations of simple real Lie algebras

Alexander Rudy (2005)

Open Mathematics

The paper deals with the real classical Lie algebras and their finite dimensional irreducible representations. Signature formulae for Hermitian forms invariant relative to these representations are considered. It is possible to associate with the irreducible representation a Hurwitz matrix of special kind. So the calculation of the signatures is reduced to the calculation of Hurwitz determinants. Hence it is possible to use the Routh algorithm for the calculation.

Currently displaying 161 – 180 of 226

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Displaying 161 – 180 of 226

Sur l'indice de certaines algèbres de Lie

Tensor products of finite and infinite dimensional representations of semisimple Lie algebras

The BGG diagram for contact orhogonal geometry of even dimension

The catenarity of the positive part of the quantized enveloping algebra of a simple Lie algebra of type $B_{2}$ . (La caténarité de la partie positive de l'algèbre enveloppante quantifiée de l'algèbre de Lie simple de type $B_{2}$ .)

The center of the universal enveloping algebra of a Lie algebra in characteristic $p$

The closure diagrams for nilpotent orbits of real forms of $E_{6}$ .

The closure diagrams for nilpotent orbits of real forms of $F_{4}$ and $G_{2}$ .

The Enright Functor on the Bernstein-Gelfand-Gelfand Category ... .

The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras.

The groups of automorphisms of the Witt $W_{n}$ and Virasoro Lie algebras

The Hurwitz determinants and the signatures of irreducible representations of simple real Lie algebras

The index of centralizers of elements of reductive Lie algebras.

The kernel of an homomorphism of Harish-Chandra

The Kostant partition functions for twisted Kac-Moody algebras.

The minimal orbit in a simple Lie algebra and its associated maximal ideal

The nil Hecke ring and Deodhar's conjecture on Bruhat intervals.

The normality of closures of orbits in a Lie algebra.

The Prime Spectrum of the Enveloping Algebra of a Reductive Lie Algebra.

The unitary dual of G2.

Théorèmes de Sylow génériques pour les groupes réductifs sur les corps finis.

Currently displaying 161 – 180 of 226