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arXiv · 0904.2487

Generalized exponents of small representations. II

Bogdan Ion
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Abstract

This is the second paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. It contains a first formula for generalized exponents of small weights which extends the Shapiro-Steinberg formula for classical exponents. The formula is made possible by a computation of Fourier coefficients of the degenerate Cherednik kernel. Unlike the usual partition function coefficients, the answer reflects only the combinatorics of minimal expressions as a sum of roots.

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Bogdan Ion. 2009-04-16. Generalized exponents of small representations. II. https://arxiv.org/abs/0904.2487

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