### 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 |
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Pages (from-to) | 285-300 |

Number of pages | 16 |

Journal | Discrete Mathematics |

Volume | 298 |

Issue number | 1-3 |

DOIs | |

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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## Cite this

Mizukawa, H., & Yamada, H. F. (2005). Rectangular Schur functions and the basic representation of affine Lie algebras.

*Discrete Mathematics*,*298*(1-3), 285-300. https://doi.org/10.1016/j.disc.2004.04.050