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arXiv · 2112.07132

Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters

Qixian Zhao
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Abstract

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. As a special case, we recover the non-integral Kazhdan-Lusztig conjecture for Verma modules.

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BibTeXRIS

Qixian Zhao. 2023-10-17. Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters. https://doi.org/10.1007/s10468-023-10222-0

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