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arxiv: 2509.20159 · v2 · pith:VXYBZ2FI · submitted 2025-09-24 · math.RT

Center of Kostant algebra

Tam\'as Hausel This is my paper

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classification math.RT
keywords algebrakostantcenterbernstein-gelfandc-savincommutingcomputeconjectured
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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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