on representations of sl(n, c) compatible with a z2-grading
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Abstract
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 Z2-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.
| Reference Key |
havlek2010actaon
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| Authors | ;M. Havlíček;E. Pelantová;J. Tolar |
| Journal | the journal of nutrition |
| Year | 2010 |
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