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Displaying 1 – 13 of 13

On multiplicities of simple subquotients in generalized Verma modules

Alexandre Khomenko, Volodymyr Mazorchuk (2002)

Czechoslovak Mathematical Journal

We reduce the problem on multiplicities of simple subquotients in an $α$ -stratified generalized Verma module to the analogous problem for classical Verma modules.

On quaternionic discrete series representations, and their continuations.

N.R. Wallach, B.H. Gross (1996)

Journal für die reine und angewandte Mathematik

On the annihilators of the simple subquotients of the principal series

A. Joseph (1977)

Annales scientifiques de l'École Normale Supérieure

On the classification of primitive ideals for complex classical Lie algebras, II

Devra Garfinkle (1992)

Compositio Mathematica

On the classification of primitive ideals for complex classical Lie algebras, I

Devra Garfinkle (1990)

Compositio Mathematica

On the classification of primitive ideals for complex classical Lie algebras, III

Devra Garfinkle (1993)

Compositio Mathematica

On the classification of unitary representations of reductive Lie groups.

Salamanca-Riba, Susana A., Vogan, David A.jun. (1998)

Annals of Mathematics. Second Series

On the composition structure of the twisted Verma modules for $𝔰𝔩 (3, ℂ)$

Libor Křižka, Petr Somberg (2015)

Archivum Mathematicum

We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra $𝔰𝔩 (3, ℂ)$ , including the explicit structure of singular vectors for both $𝔰𝔩 (3, ℂ)$ and one of its Lie subalgebras $𝔰𝔩 (2, ℂ)$ , and also of their generators. Our analysis is based on the use of partial Fourier tranform applied to the realization of twisted Verma modules as $D$ -modules on the Schubert cells in the full flag manifold for $SL (3, ℂ)$ .

Currently displaying 1 – 13 of 13

Page 1

Displaying 1 – 13 of 13

On multiplicities of simple subquotients in generalized Verma modules

On quaternionic discrete series representations, and their continuations.

On the annihilators of the simple subquotients of the principal series

On the classification of primitive ideals for complex classical Lie algebras, II

On the classification of primitive ideals for complex classical Lie algebras, I

On the classification of primitive ideals for complex classical Lie algebras, III

On the classification of unitary representations of reductive Lie groups.

On the composition structure of the twisted Verma modules for $𝔰𝔩 (3, ℂ)$

On the Demazure character formula

On the Demazure character formula II. Generic homologies

On the set of orbits for a Borel subgroup.

On the unitarizability of derived functor modules.

On Whittaker Vectors and Representation Theory.

Currently displaying 1 – 13 of 13