期刊论文详细信息
Acta Polytechnica
On Representations of sl(n, C) Compatible with a Z2-grading
J. Tolar1  M. Havlíček1  E. Pelantová1 
关键词: quantum universal enveloping algebra;    Hopf algebra;    Verma module;    representation;    composition series;    projection;    weight;   
DOI  :  
来源: Czech Technical University in Prague, Faculty of M
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【 摘 要 】

This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is applied to finite-dimensional representations of sl(n,C) in relation to its Z 2 -gradings. For representation theory of sl(n,C) the Gel’fand-Tseitlin method turned out very efficient. We show that it is not generally true that every irreducible representation can be compatibly graded.

【 授权许可】

Unknown   

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