A construction of modular representations of classical Lie algebras-Reference-Cited by-同舟云学术

A construction of modular representations of classical Lie algebras

Published:1994 Issue:2 Volume:122 Page:399-407
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Peters Karl M.,Shi Zhiyong

Abstract

In this paper, we construct and analyze new classes of modular representations of classical Lie algebras of type C and type A. These representations include a class of pointed torsion free representations, a class of irreducible nonrestricted representations, and a class of indecomposable representations of arbitrary high dimension. The construction is based on the realization of these Lie algebras in the modular Weyl algebras acting on truncated polynomial algebras. We also classify all the irreducible representations of the modular Weyl algebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-122-02/S0002-9939-1994-1233981-4/S0002-9939-1994-1233981-4.pdf

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