On Representations of sl(n, C) Compatible with a Z2-grading

Authors

  • M. Havlíček
  • E. Pelantová
  • J. Tolar

DOI:

https://doi.org/10.14311/1261

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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Published

2010-01-05

Issue

Vol. 50 No. 5 (2010)

Section

Articles

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How to Cite

Havlíček, M., Pelantová, E., & Tolar, J. (2010). On Representations of sl(n, C) Compatible with a Z2-grading. Acta Polytechnica, 50(5). https://doi.org/10.14311/1261