Typical blocks of Lie superalgebras in prime characteristic

Abstract

For a type I basic classical Lie superalgebra $\mathfrak{g}={\mathfrak{g}}_{\bar{0}}\oplus {\mathfrak{g}}_{\bar{1}}$, we establish an equivalence between typical blocks of categories of $U_{\chi }(\mathfrak{g})$-modules and $U_χ(mathfrak{g}_{\bar{0})$-modules. We then deduce various consequences from the equivalence.

13pages; submitted for publication

References in corpus (1)

• Localization of modules for a semisimple Lie algebra in prime characteristic