Mathematics > Number Theory
[Submitted on 12 Jun 2013 (this version), latest version 1 Dec 2017 (v2)]
Title:Ext-analogues of Branching laws
View PDFAbstract:We consider the Ext-analogues of branching laws of representations of a group to its subgroups in the context of $p$-adic groups. Branching laws can be considered either for sub-representations, or for quotient representations, although in practice, and also in the theory of period integrals, it is just one possibility that of quotients that presents itself. The Ext-analogues make sense for both the options, and the two possibilities seem to get related in the higher Ext-groups through a duality analogous to Serre duality for coherent sheaves on Schemes. These considerations have also inspired us to make a general duality conjecture for any reductive $p$-adic group.
Submission history
From: Dipendra Prasad [view email][v1] Wed, 12 Jun 2013 07:27:18 UTC (37 KB)
[v2] Fri, 1 Dec 2017 21:17:50 UTC (39 KB)
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