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 | |
【 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
【 预 览 】
Files | Size | Format | View |
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RO201911300018201ZK.pdf | 245KB | download |