Rectangular Schur functions and the basic representation of affine Lie algebras

Hiroshi Mizukawa, Hiro Fumi Yamada

Research output: Contribution to journalArticlepeer-review

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

Keywords

  • Affine Lie algebra
  • Rectangular partition
  • Schur function

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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