Bounded weight modules of the Lie algebra of vector fields on ℂ2-Reference-Cited by-同舟云学术

Bounded weight modules of the Lie algebra of vector fields on ℂ2

Published:2017-11-20 Issue:12 Volume:16 Page:1750236
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Cavaness Andrew¹,Grantcharov Dimitar¹

Affiliation:

1. Department of Mathematics, University of Texas at Arlington, Arlington, TX 76021, USA

Abstract

We study weight modules of the Lie algebra [Formula: see text] of vector fields on [Formula: see text]. A classification of all simple weight modules of [Formula: see text] with a uniformly bounded set of weight multiplicities is provided. To achieve this classification, we introduce a new family of generalized tensor [Formula: see text]-modules. Our classification result is an important step in the classification of all simple weight [Formula: see text]-modules with finite weight multiplicities.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881750236X

Reference12 articles.

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3. Twisted Localization of Weight Modules

4. Category of sp(2n)-modules with Bounded Weight Multiplicities

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