Typical blocks of Lie superalgebras in prime characteristic
Abstract
Description
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 $U_χ(\mathfrak{g})$-modules and $U_χ(mathfrak{g}_{\bar{0})$-modules. We then deduce various consequences from the equivalence.
13pages; submitted for publication
13pages; submitted for publication