A note on tensor categories of Lie type E-9 Academic Article

abstract

• We consider the problem of decomposing tensor powers of the fundamental level 1 highest weight representation V of the affine Kac-Moody algebra g (E9). We describe an elementary algorithm for determining the decomposition of the submodule of Vn whose irreducible direct summands have highest weights which are maximal with respect to the null-root. This decomposition is based on Littelmann's path algorithm and conforms with the uniform combinatorial behavior recently discovered by H. Wenzl for the series EN, N 9. 2004 Elsevier Inc. All rights reserved.

authors

• Rowell, Eric

published proceedings

• JOURNAL OF ALGEBRA

author list (cited authors)

• Rowell, E. C.

citation count

• 0

complete list of authors

• Rowell, EC

publication date

• January 2005

publisher

• Elsevier  Publisher

published in

• Journal of Algebra  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jalgebra.2004.08.014

start page

• 296

end page

• 309

volume

• 284

issue

• 1

URL

• http://dx.doi.org/10.1016/j.jalgebra.2004.08.014