Centers of cyclotomic Sergeev superalgebras

作者：Ruff Oliver^*

来源：Journal of Algebra, 2011, 331(1): 490-511.

DOI：10.1016/j.jalgebra.2010.08.005

• Affine Sergeev superalgebra
• Cyclotomic Sergeev superalgebra
• Centers of algebras
• Block classification

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.

• 出版日期2011-4-1