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Article
Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras
Experimental Mathematics
  • Murray Bremner, University of Saskatchewan
  • Irvin R. Hentzel, Iowa State University
Document Type
Article
Disciplines
Publication Version
Published Version
Publication Date
1-1-2004
Abstract
An irreducible representation of a simple Lie algebra can be a direct summand of its own tensor square. In this case, the representation admits a nonassociative algebra structure which is invariant in the sense that the Lie algebra acts as derivations. We study this situation for the Lie algebra sl(2).
Comments

This article is published as Bremner, Murray, and Irvin Hentzel. "Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras." Experimental Mathematics 13, no. 2 (2004): 231-256. Posted with permission.

Copyright Owner
AK Peters, Ltd.
Language
en
File Format
application/pdf
Citation Information
Murray Bremner and Irvin R. Hentzel. "Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras" Experimental Mathematics Vol. 13 Iss. 2 (2004) p. 231 - 256
Available at: http://works.bepress.com/irvin-hentzel/15/