Journal or Book Title
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).
AK Peters, Ltd.
Bremner, Murray and Hentzel, Irvin R., "Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras" (2004). Mathematics Publications. 145.