MVW-extensions of real quaternionic classical groups

2011/11/11 by Yanan Lin, Lin, Yanan, Binyong Sun +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1111.2635

arxiv created 2011/11/11 · openalex publication_date 2011/11/11 · arxiv updated 2011/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a real quaternionic classical group \GL_n(\bH), \Sp(p,q) or \oO^*(2n). We define an extension \breve G of G with the following property: it contains G as a subgroup of index two, and for every x∈ G, there is an element \breve g∈ \breve G∖ G such that \breve g x\breveg^-1=x^-1. This is similar to Moeglin-Vigneras-Waldspurger's extensions of non-quaternionic classical groups.

Citations

• Notes on MVW-extensions

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