منابع مشابه
Metaplectic Ice
Abstract. We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of ...
متن کاملMetaplectic Ice Accessed Terms of Use Detailed Terms Metaplectic Ice
We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of a sixverte...
متن کاملHecke Modules and Supersingular
Let F be a nonarchimedean local field of odd residual characteristic p. We classify finite-dimensional simple right modules for the pro-pIwahori-Hecke algebra HC(G, I(1)), where G is the unramified unitary group U(2, 1)(E/F ) in three variables. Using this description when C = Fp, we define supersingular Hecke modules and show that the functor of I(1)-invariants induces a bijection between irre...
متن کاملQuasisymmetric Schur functions and modules of the 0-Hecke algebra
We define a 0-Hecke action on composition tableaux, and then use it to derive 0-Hecke modules whose quasisymmetric characteristic is a quasisymmetric Schur function. We then relate the modules to the weak Bruhat order and use them to derive a new basis for quasisymmetric functions. We also classify those modules that are tableau-cyclic and likewise indecomposable. Finally, we develop a restrict...
متن کاملHecke Modules for Arithmetic Groups via Bivariant K-theory
Let Γ be a lattice in a locally compact group G. In earlier work, we used KKtheory to equip the K-groups of any Γ-C∗-algebra on which the commensurator of Γ acts with Hecke operators. When Γ is arithmetic, this gives Hecke operators on the K-theory of certain C ∗-algebras that are naturally associated with Γ. In this paper, we first study the topological Ktheory of the arithmetic manifold assoc...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2017
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-017-0372-0