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arXiv · 2509.20159

Center of Kostant algebra

Tamás Hausel
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Abstract

In this note, following Mui\'c-Savin, we compute the center of Kostant algebra, introduced by Kostant in 1975 as strongly commuting algebra. We explain how it encodes information on tensor products between a finite-dimensional and a Verma module, and about the structure of principal series representations via the work of Bernstein-Gelfand. We also discuss conjectured relationships to Langlands duality.

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BibTeXRIS

Tamás Hausel. 2025-09-24. Center of Kostant algebra. https://arxiv.org/abs/2509.20159

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