Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie AlgebrasExperimental Mathematics
Publication VersionPublished Version
AbstractAn 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 OwnerAK Peters, Ltd.
Citation InformationMurray 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/