Title
Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras
Campus Units
Mathematics
Document Type
Article
Publication Version
Published Version
Publication Date
2004
Journal or Book Title
Experimental Mathematics
Volume
13
Issue
2
First Page
231
Last Page
256
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
Recommended Citation
Bremner, Murray and Hentzel, Irvin R., "Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras" (2004). Mathematics Publications. 145.
https://lib.dr.iastate.edu/math_pubs/145
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.