Whittaker models for depth zero representations of covering groups

2017/05/22 by Fan Gao, Gao, Fan, Martin H. Weissman +1
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Primary 11F70 #Representation Theory (math.RT) #Secondary 22E50

paper · pdf · doi:10.48550/arxiv.1705.07557

openalex publication_date 2017/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the dimension of the space of Whittaker functionals for depth zero representations of covering groups. In particular, we determine such dimensions for arbitrary Brylinski-Deligne coverings of the general linear group. The results in the paper are motivated by and compatible with the work of Howard and the second author, and earlier work by Blondel.

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