Admissible modules and normality of classical nilpotent orbits II

2022/05/17 by Dan Barbasch, Kayue Daniel Wong, Barbasch, Dan +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2205.08433

openalex publication_date 2022/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we compute the character formula of the Brylinski model for all classical nilpotent varieties O. As a consequence, one can compute the multiplicities of all K-types of the ring of regular functions R(O) for all classical nilpotent varieties.

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