Centers of cyclotomic Sergeev superalgebras

Details Centers of cyclotomic Sergeev superalgebras Centers of cyclotomic Sergeev superalgebras

2008-11-24

arxiv.org/abs/0811.3991v1

Mathematics

Representation Theory

19 pages

Scientific paper

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.

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