Centers of universal enveloping algebras of Lie superalgebras in prime characteristic
arXiv:1210.8032
Abstract
Let $\ggg=\ggg_\bz+\ggg_\bo$ be a basic classical Lie superalgebra over an algebraically closed field of characteristic , and be an algebraic supergroup satisfying $\Lie(G)=\ggg$, with the purely even subgroup $G_\ev$ which is a reductive group. The center $\cz:=\cz(\ggg)$ of the universal enveloping algebra of easily turns out to be a domain. In this paper, we prove that the quotient field of $\cz$ coincides with that of the subalgebra generated by the $G_{\ev}$-invariant ring $\cz^{G_\ev}$ of $\cz$ and the -center $\cz_0$ of $U(\ggg_\bz)$.
This paper has been withdrawn by the author because the last two chapters are being essentially corrected