Rectangular Schur functions and the basic representation of affine Lie algebras

Hiroshi Mizukawa, Hiro Fumi Yamada

Research output: Contribution to journalArticle

6 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 languageEnglish
Pages (from-to)285-300
Number of pages16
JournalDiscrete Mathematics
Volume298
Issue number1-3
DOIs
Publication statusPublished - Aug 6 2005

Fingerprint

Sums of Powers
Affine Lie Algebras
Schur Functions
Algebra
Partition

Keywords

  • Affine Lie algebra
  • Rectangular partition
  • Schur function

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Rectangular Schur functions and the basic representation of affine Lie algebras. / Mizukawa, Hiroshi; Yamada, Hiro Fumi.

In: Discrete Mathematics, Vol. 298, No. 1-3, 06.08.2005, p. 285-300.

Research output: Contribution to journalArticle

Mizukawa, Hiroshi ; Yamada, Hiro Fumi. / Rectangular Schur functions and the basic representation of affine Lie algebras. In: Discrete Mathematics. 2005 ; Vol. 298, No. 1-3. pp. 285-300.
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