most citedThe Hecke algebra of a reductive p-adic group: a geometric conjecture

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math.RT2005★ 1 cited

The Hecke algebra of a reductive p-adic group: a geometric conjecture

Anne-Marie Aubert, Paul Baum, Roger Plymen

Let H(G) be the Hecke algebra of a reductive p-adic group G. We formulate a conjecture for the ideals in the Bernstein decomposition of H(G). The conjecture says that each ideal is…

math.KT2004

Cycles in the chamber homology of GL(3)

Anne-Marie Aubert, Samir Hasan, Roger Plymen

Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes o…