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arXiv 2009-01-15 0 views

On representations of Lie algebras compatible with a grading

Havlíček, Miloslav · Pelantová, Edita · Tolar, Jiří

Original · EN

The paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is defined and applied to finite-dimensional representations of sl(n,C) in relation with its Z₂-gradings. For representation theory of sl(n,C) the Gel'fand-Tseitlin method turned out very effective.

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