Vector partition function and representation theory

  title={Vector partition function and representation theory},
  author={Charles Cochet},
We apply some recent developments of Baldoni-Beck-CochetVergne [BBCV05] on vector partition function, to Kostant’s and Steinberg’s formulae, for classical Lie algebras Ar, Br , Cr , Dr . We therefore get efficient Maple programs that compute for these Lie algebras: the multiplicity of a weight in an irreducible finite-dimensional representation; the decomposition coefficients of the tensor product of two irreducible finite-dimensional representations. These programs can also calculate… CONTINUE READING