Cuspidal representations of sl ( n + 1 )

In this paper we study the subcategory of cuspidal modules of the category of weight modules over the Lie algebra sl ( n + 1 ) . Our main result is a complete classification and an explicit description of indecomposable cuspidal modules.

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Bibliographic Details
Published inAdvances in mathematics (New York. 1965) Vol. 224; no. 4; pp. 1517 - 1547
Main Authors Grantcharov, Dimitar, Serganova, Vera
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.2010
Subjects
Indecomposable representations
Lie algebra
Quiver
Weight modules
Indecomposable representations
Quiver
Lie algebra
17B10
Weight modules
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Summary:In this paper we study the subcategory of cuspidal modules of the category of weight modules over the Lie algebra sl ( n + 1 ) . Our main result is a complete classification and an explicit description of indecomposable cuspidal modules.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2009.12.024