Rectangular Schur functions and the basic representation of affine Lie algebras

Hiroshi Mizukawa; Hiro Fumi Yamada

doi:10.1016/j.disc.2004.04.050

Rectangular Schur functions and the basic representation of affine Lie algebras

Hiroshi Mizukawa, Hiro Fumi Yamada

Faculty of Science

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

An expression is given for the plethysm p2°S□, where p2 is the power sum of degree two and S□ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type A2(2).

Original language	English
Pages (from-to)	285-300
Number of pages	16
Journal	Discrete Mathematics
Volume	298
Issue number	1-3
DOIs	https://doi.org/10.1016/j.disc.2004.04.050
Publication status	Published - Aug 6 2005

Keywords

Affine Lie algebra
Rectangular partition
Schur function

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2004.04.050

Cite this

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title = "Rectangular Schur functions and the basic representation of affine Lie algebras",

abstract = "An expression is given for the plethysm p2°S□, where p2 is the power sum of degree two and S□ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type A2(2).",

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AU - Yamada, Hiro Fumi

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N2 - An expression is given for the plethysm p2°S□, where p2 is the power sum of degree two and S□ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type A2(2).

AB - An expression is given for the plethysm p2°S□, where p2 is the power sum of degree two and S□ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type A2(2).

KW - Affine Lie algebra

KW - Rectangular partition

KW - Schur function

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M3 - Article

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EP - 300

JO - Discrete Mathematics

JF - Discrete Mathematics

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ER -

Rectangular Schur functions and the basic representation of affine Lie algebras

Abstract

Keywords

ASJC Scopus subject areas

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