A generalization of the Enright-Varadarajan modules

R. Parthasarathy

Displaying similar documents to “A generalization of the Enright-Varadarajan modules”

Classification of irreducible weight modules

Olivier Mathieu (2000)

Annales de l'institut Fourier

Similarity:

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 $𝒪$ .

Generalized Verma module homomorphisms in singular character

Peter Franek (2006)

Archivum Mathematicum

Similarity:

In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the $k$ -th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.

On certain class of unitarizable representations of the Lie algebra $u (p, q)$

Molev, A. I.

Similarity:

Induced modules for affine Lie algebras.

Futorny, Vyacheslav, Kashuba, Iryna (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Homomorphisms of semiholonomic Verma modules: An exceptional case.

Sawon, J. (1999)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

Displaying similar documents to “A generalization of the Enright-Varadarajan modules”

Classification of irreducible weight modules

Generalized Verma module homomorphisms in singular character

On certain class of unitarizable representations of the Lie algebra u ( p , q )

Induced modules for affine Lie algebras.

Homomorphisms of semiholonomic Verma modules: An exceptional case.

On certain class of unitarizable representations of the Lie algebra $u (p, q)$