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


  • 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.

published proceedings


author list (cited authors)

  • Rowell, E. C.

citation count

  • 0

complete list of authors

  • Rowell, EC

publication date

  • January 2005