Generalized exponents of small representations. I

Mathematics – Representation Theory

Scientific paper

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30 pg

Scientific paper

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-Schutzenberger charge formula.

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