A note on tensor categories of Lie type $E_9$ Institutional Repository Document 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 $g(E_9)$. 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 $E_N$, $N

author list (cited authors)

  • Rowell, E. C.

complete list of authors

  • Rowell, Eric C

publication date

  • June 2004