Special isogenies and tensor product multiplicities

Details Special isogenies and tensor product multiplicities Special isogenies and tensor product multiplicities

2007-06-15

arxiv.org/abs/0706.2324v1

Mathematics

Representation Theory

11 pages

Scientific paper

We show that any bijection between two root systems that preserves angles (but not necessarily lengths) gives rise to inequalities relating tensor product multiplicities for the corresponding complex semisimple Lie groups (or Lie algebras). We explain the inequalities in two ways: combinatorially, using Littelmann's Path Model, and geometrically, using isogenies between algebaric groups defined over an algebraically closed field of positive characteristic.

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