Norm estimates for unitarizable highest weight modules

Bernhard Krötz

Displaying similar documents to “Norm estimates for unitarizable highest weight modules”

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

Molev, A. I.

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An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties

Hans Plesner Jakobsen (1996)

Compositio Mathematica

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Basic covariant differential operators on hermitian symmetric spaces

Hans Plesner Jakobsen (1985)

Annales scientifiques de l'École Normale Supérieure

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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 $𝒪$ .

A generalization of the Enright-Varadarajan modules

R. Parthasarathy (1978)

Compositio Mathematica

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Displaying similar documents to “Norm estimates for unitarizable highest weight modules”

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

An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties

Basic covariant differential operators on hermitian symmetric spaces

Classification of irreducible weight modules

A generalization of the Enright-Varadarajan modules

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