The Cherednik kernel and generalized exponents

Details The Cherednik kernel and generalized exponents The Cherednik kernel and generalized exponents

2003-11-17

arxiv.org/abs/math/0311258v1

Mathematics

Representation Theory

22 pg

Scientific paper

We show how the knowledge of the Fourier coefficients of the Cherednik kernel leads to combinatorial formulas for generalized exponents. We recover known formulas for generalized exponents of irreducible representations parameterized by dominant roots, and obtain new formulas for the generalized exponents for irreducible representations parameterized by the dominant elements of the root lattice which are sums of two orthogonal short roots.

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