Geometric structure for Bernstein blocks

作者: Roger Plymen , Anne-Marie Aubert , Paul Baum , Maarten Solleveld

DOI:

关键词: Series (mathematics)QuotientConjectureStructure (category theory)MathematicsBlock (permutation group theory)Group (mathematics)Representation theoryCombinatorics

摘要: We consider blocks in the representation theory of reductive p-adic groups. On each such block we conjecture a definite geometric structure, that an extended quotient. prove this structure is present for any inner form GL_n(F), and also principal series connected split group with centre.

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