On Extensions of generalized Steinberg Representations

2004/02/04 by Sascha Orlik, Orlik, Sascha · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.RT #msc:22E50

paper · pdf · doi:10.48550/arxiv.math/0402065

22 pages, LaTeX

arxiv created 2004/02/04 · arxiv updated 2009/12/01

Abstract

Let F be a local non-archimedean field and let G be the group of F-valued points of a reductive algebraic group over F. In this paper we compute the Ext-groups of generalized Steinberg representations in the category of smooth G-representations with coefficients in a certain self-injective ring.

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• Godement--Jacquet L-function and homological theta lifting
• The continuous cohomology of period domains over local fields

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