English

Categorification of Clifford algebra via geometric induction and restriction

Representation Theory 2016-05-10 v1

Abstract

We use geometric parabolic induction functors and the adjoint functors for the supergroups Osp(2m+1,2n) (where m and n vary) to categorify the action of the infinite-dimensional Clifford algebra on the Fock space of semi-infinite forms.

Keywords

Cite

@article{arxiv.1605.02382,
  title  = {Categorification of Clifford algebra via geometric induction and restriction},
  author = {Caroline Gruson and Vera Serganova},
  journal= {arXiv preprint arXiv:1605.02382},
  year   = {2016}
}