Generalized exponents of small representations. I

Ion, Bogdan

doi:10.1090/S1088-4165-09-00359-8

Generalized exponents of small representations. I
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by Bogdan Ion

Represent. Theory 13 (2009), 401-426

DOI: https://doi.org/10.1090/S1088-4165-09-00359-8

Published electronically: September 10, 2009

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Abstract:

This is the first paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. The main part of this paper illustrates the overall structure of the argument on root systems of type $A$ and discusses the relationship with the Lascoux-Schützenberger charge formula

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