Tilting Modules for Lie Superalgebras
Abstract We develop a general theory of tilting modules for graded Lie superalgebras, extending work of Soergel for graded Lie algebras. The main result of the article gives a twisted version of BGG reciprocity relating multiplicities in Δ-flags of indecomposable tilting modules to composition multiplicities of costandard modules. We then discuss the examples 𝔤l(m|n) and 𝔮(n) in detail.