English

Stanley character formula for the spin characters of the symmetric groups

Combinatorics 2020-03-03 v1 Representation Theory

Abstract

We give a new formula for the irreducible spin characters of the symmetric groups. This formula is analogous to Stanley's character formula for the usual (linear) characters of the symmetric groups.

Keywords

Cite

@article{arxiv.1810.13255,
  title  = {Stanley character formula for the spin characters of the symmetric groups},
  author = {Sho Matsumoto and Piotr Śniady},
  journal= {arXiv preprint arXiv:1810.13255},
  year   = {2020}
}

Comments

12 pages. Initial submission of the extended abstract for FPSAC 2019 conference. A full version of this extended abstract will be available soon as a separate paper