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arxiv: 0904.2483 · v1 · submitted 2009-04-16 · 🧮 math.RT · math.CO

Generalized exponents of small representations. I

classification 🧮 math.RT math.CO
keywords exponentsgeneralizedrepresentationssmallargumentchargedevoteddiscusses
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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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