Bounded highest weight modules over q(n)

Maria Gorelik; Dimitar Grantcharov

doi:10.1093/imrn/rnt147

Bounded highest weight modules over q(n)

Maria Gorelik, Dimitar Grantcharov

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

A classification of the simple highest weight bounded q(n)-modules is obtained. To achieve this classification, we introduce a new combinatorial tool-the star action. Our result leads, in particular, to a classification of all simple weight q(n)-modules with finite-dimensional weight spaces.

Original language	English
Pages (from-to)	6111-6154
Number of pages	44
Journal	International Mathematics Research Notices
Volume	2014
Issue number	22
DOIs	https://doi.org/10.1093/imrn/rnt147
State	Published - 1 Jan 2014

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnt147

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abstract = "A classification of the simple highest weight bounded q(n)-modules is obtained. To achieve this classification, we introduce a new combinatorial tool-the star action. Our result leads, in particular, to a classification of all simple weight q(n)-modules with finite-dimensional weight spaces.",

author = "Maria Gorelik and Dimitar Grantcharov",

note = "Minerva foundation; Federal German Ministry for Education and Research; NSA [H98230-10-1-0207] Partially supported by the Minerva foundation with funding from the Federal German Ministry for Education and Research (to M.G.). This research was supported by NSA grant H98230-10-1-0207 (to D.G.).",

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Bounded highest weight modules over q(n)

Abstract

All Science Journal Classification (ASJC) codes

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