A character relationship between symmetric group and hyperoctahedral group

Frank Lübeck; Dipendra Prasad; Arvind Ayyer

A character relationship between symmetric group and hyperoctahedral group

Representation Theory 2020-03-24 v2 Number Theory

Authors: Frank Lübeck , Dipendra Prasad , Arvind Ayyer

Abstract

We relate character theory of the symmetric groups $S_{2n}$ and $S_{2n+1}$ with that of the hyperoctahedral group $B_n = ({\mathbb Z}/2)^n \rtimes S_n$ , as part of the expectation that the character theory of reductive groups with diagram automorphism and their Weyl groups, is related to the character theory of the fixed subgroup of the diagram automorphism.

Keywords

character theory character theory of finite groups automorphism groups

Cite

@article{arxiv.1912.08576,
  title  = {A character relationship between symmetric group and hyperoctahedral group},
  author = {Frank Lübeck and Dipendra Prasad and Arvind Ayyer},
  journal= {arXiv preprint arXiv:1912.08576},
  year   = {2020}
}

Comments

This version contains an appendix by Arvind Ayyer

A character relationship between symmetric group and hyperoctahedral group

Abstract

Keywords

Cite

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