A basis for the GLn tensor product algebra Academic Article uri icon

abstract

  • This paper focuses on the G L n tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary irreducible representations of G L n . We will describe an explicit basis for this algebra. This construction relates directly with the combinatorial description of Littlewood-Richardson coefficients in terms of Littlewood-Richardson tableaux. Philosophically, one may view this construction as a recasting of the Littlewood-Richardson rule in the context of classical invariant theory. © 2004 Elsevier Inc. All rights reserved.

author list (cited authors)

  • Howe, R. E., Tan, E., & Willenbring, J. F.

citation count

  • 11

publication date

  • October 2005