On Representations of sl(n, C) Compatible with a Z2-grading
| Autor: | M. Havlíček, E. Pelantová, J. Tolar |
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| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Acta Polytechnica, Vol 50, Iss 5 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1210-2709 1805-2363 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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