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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.RT2003★ 4 cited
Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition
Anne-Marie Aubert, Roger Plymen
Let F be a nonarchimedean local field, let D be a division algebra over F, let GL(n) = GL(n,F). Let νdenote Plancherel measure for GL(n). Each component Ωin the Bernstein variety Ω…