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

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 Title: A formula of Lascoux-Leclerc-Thibon and representations of symmetric groups Authors: Morita, Hideaki Browse this author Nakajima, Tatsuhiro Browse this author Issue Date: 2005 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 729 Start Page: 1 End Page: 16 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. Type: bulletin (article) URI: http://hdl.handle.net/2115/69537 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics