Rectangular Schur functions and the basic representation of affine Lie algebras

Hiroshi Mizukawa; Hiro-Fumi Yamada

Rectangular Schur functions and the basic representation of affine Lie algebras

组合数学 2007-05-23 v1 表示论

作者: Hiroshi Mizukawa , Hiro-Fumi Yamada

摘要

An expression is given for the plethysm $p_{2}\circ S_{\square}$ , where $p_{2}$ is the power sum of degree two and $S_{\square}$ 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 $A_{2}^{(2)}$ .

关键词

symmetric functions schubert polynomials special functions and series expansions

引用

@article{arxiv.math/0206225,
  title  = {Rectangular Schur functions and the basic representation of affine Lie algebras},
  author = {Hiroshi Mizukawa and Hiro-Fumi Yamada},
  journal= {arXiv preprint arXiv:math/0206225},
  year   = {2007}
}

备注

16 pages

Rectangular Schur functions and the basic representation of affine Lie algebras

摘要

关键词

引用

备注

相关论文