On Representations of sl(n, C) Compatible with a Z2-grading
<p>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<sub>2</sub>-gradings. For representation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
CTU Central Library
2010-01-01
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| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/1261 |
| Summary: | <p>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<sub>2</sub>-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.</p> |
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| ISSN: | 1210-2709 1805-2363 |