English

Canonical bilinear form and Euler characters

Representation Theory 2021-05-31 v3

Abstract

An explicit formula for the canonical bilinear form on the Grothendieck ring of the Lie supergroup GL(n,m)GL(n,m) is given. As an application we get an algorithm for the decomposition Euler characters in terms of characters of irreducible modules in the category of partially polynomial representations.

Keywords

Cite

@article{arxiv.2101.01370,
  title  = {Canonical bilinear form and Euler characters},
  author = {A. N. Sergeev},
  journal= {arXiv preprint arXiv:2101.01370},
  year   = {2021}
}

Comments

25 pages. Typos corrected. Supercharacters replaced characters

R2 v1 2026-06-23T21:47:02.534Z