Shun-Jen Cheng, Academia Sinica

Title: Whittaker modules and representations of finite W-algebras of queer Lie superalgebras

Abstract: We study various categories of Whittaker modules over the queer Lie superalgebras. We formulate standard Whittaker modules and reduce the problem of composition factors of these standard Whittaker modules to that of Verma modules in the corresponding BGG categories. We establish equivalence of categories between the categories of Whittaker modules and analogues of BGG category of finite W-algebra modules over the queer Lie superalgebra. This enables us to compute the composition factors of Verma modules over these finite W-algebras. This is based on a joint work with Chih-Whi Chen.

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