on representations of sl(n, c) compatible with a z2-grading

Clicks: 67
ID: 242674
2010
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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.

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havlek2010actaon Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;M. Havlíček;E. Pelantová;J. Tolar
Journal the journal of nutrition
Year 2010
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