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A formula of Lascoux-Leclerc-Thibon and representations of symmetric groups

Preprint Series # 729
Morita, Hideaki and Nakajima, Tatsuhiro A formula of Lascoux-Leclerc-Thibon and representations of symmetric groups. (2005);

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Abstract

We consider Green polynomials at roots of unity, corresponding to partitions which we call $l$-partitions. We obtain a combinatorial formula for Green polynomials corresponding to $l$-partitions at primitive $l$-th roots of unity. The formula is rephrased in terms of representation theory of the symmetric group.

Item Type:Preprint
Additional Information:60
Uncontrolled Keywords:Symmetric group, Hall-Littlewood funnction, Green polynomial, root of unity, DeConcini-Procesi-Tanisaki algebra
Subjects:20-xx GROUP THEORY AND GENERALIZATIONS
13-xx COMMUTATIVE RINGS AND ALGEBRAS
05-xx COMBINATORICS
ID Code:983