Graded multiplicities in the exterior algebra

Details Graded multiplicities in the exterior algebra Graded multiplicities in the exterior algebra

2000-12-23

arxiv.org/abs/math/0012244v1

Advances in Math. 158 (2001), no. 2, 129--153

Mathematics

Representation Theory

24 pages, to appear in Adv. Math

Scientific paper

We know the multiplicity of the adjoint representation of a semisimple Lie
algebra in its own exterior algebra, but how do its copies distribute
themselves between the exterior powers? The answer (the graded multiplicity) is
obtained with the aid of Macdonald polynomials.

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