Geometric structure for the principal series of a reductive p-adic group with connected centre

Let G be a split reductive p-adic group with connected centre. We show that each Bernstein block in the principal series of G admits a definite geometric structure, namely that of an extended quotient. For the Iwahori-spherical block, this extended quotient has the form T//W where T is a maximal to...

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Bibliographic Details
Main Authors: Aubert, Anne-Marie (Author), Baum, Paul (Author), Plymen, Roger (Author), Solleveld, Maarten (Author)
Format: Article
Language:English
Published: 2016-07-01.
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Online Access:Get fulltext
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100 1 0 |a Aubert, Anne-Marie  |e author 
700 1 0 |a Baum, Paul  |e author 
700 1 0 |a Plymen, Roger  |e author 
700 1 0 |a Solleveld, Maarten  |e author 
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856 |z Get fulltext  |u https://eprints.soton.ac.uk/380414/1/ConnectedCentre26.pdf 
520 |a Let G be a split reductive p-adic group with connected centre. We show that each Bernstein block in the principal series of G admits a definite geometric structure, namely that of an extended quotient. For the Iwahori-spherical block, this extended quotient has the form T//W where T is a maximal torus in the Langlands dual group of G and W is the Weyl group of G. 
655 7 |a Article