DUALITY BETWEEN GL(n,R), GL(n,Qp), AND THE DEGENERATE AFFINE HECKE ALGEBRA FOR gl(n)
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چکیده
We define an exact functor Fn,k from the category of Harish-Chandra modules for GL(n, R) to the category of finite-dimensional representations for the degenerate affine Hecke algebra for gl(k). Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).
منابع مشابه
DUALITY BETWEEN GL(n,R) AND THE DEGENERATE AFFINE HECKE ALGEBRA FOR gl(n)
We define an exact functor Fn,k from the category of Harish-Chandra modules for GL(n, R) to the category of finite-dimensional representations for the degenerate affine Hecke algebra for gl(k). Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).
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