English

Centers of cyclotomic Sergeev superalgebras

Representation Theory 2008-11-26 v1

Abstract

We prove that the natural map from the center of the affine Sergeev superalgebra to the even center of any cyclotomic Sergeev superalgebra of odd level is surjective, hence that the even center of a cyclotomic Sergeev superalgebra of odd level consists of symmetric functions in the squares of its polynomial generators.

Keywords

Cite

@article{arxiv.0811.3991,
  title  = {Centers of cyclotomic Sergeev superalgebras},
  author = {Oliver Ruff},
  journal= {arXiv preprint arXiv:0811.3991},
  year   = {2008}
}

Comments

19 pages