Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)
Abstract
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).
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.