Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493562 | Journal of Algebra | 2005 | 14 Pages |
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 Vân 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, Nâ 9.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Eric C. Rowell,