Article
Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras
Experimental Mathematics
Document Type
Article
Disciplines
- Algebra and
- Mathematics
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).
Copyright Owner
AK Peters, Ltd.
Copyright Date
2004
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/
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.