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arXiv:2112.07132 [math.RT]AbstractReferencesReviewsResources

Characters of irreducible Whittaker modules for complex semisimple Lie algebras

Qixian Zhao

Published 2021-12-14, updated 2022-08-29Version 2

Let $\mathfrak{g}$ be a complex semisimple Lie algebra. We give a description of characters of irreducible Whittaker modules for $\mathfrak{g}$ with any infinitesimal character, along with a Kazhdan-Lusztig algorithm for computing them. This generalizes Milicic-Soergel's and Romanov's results for integral infinitesimal characters.

Comments: Added more explanation on conceptual ideas. Rearranged contents. Simplified redundant notations
Categories: math.RT
Subjects: 17B10, 32C38
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