article published yes Adam Brown author 70B7FDF6-608D-11E9-9333-8535E6697425 HeEd department In this paper we construct a family of exact functors from the category of Whittaker modules of the simple complex Lie algebra of type to the category of finite-dimensional modules of the graded affine Hecke algebra of type . Using results of Backelin [2] and of Arakawa-Suzuki [1], we prove that these functors map standard modules to standard modules (or zero) and simple modules to simple modules (or zero). Moreover, we show that each simple module of the graded affine Hecke algebra appears as the image of a simple Whittaker module. Since the Whittaker category contains the BGG category as a full subcategory, our results generalize results of Arakawa-Suzuki [1], which in turn generalize Schur-Weyl duality between finite-dimensional representations of and representations of the symmetric group . Elsevier2019 eng 0021-8693 1805.04676 00048717630001110.1016/j.jalgebra.2019.07.027 538261-289 A. Brown, Journal of Algebra 538 (2019) 261–289. Brown A. Arakawa-Suzuki functors for Whittaker modules. <i>Journal of Algebra</i>. 2019;538:261-289. doi:<a href="https://doi.org/10.1016/j.jalgebra.2019.07.027">10.1016/j.jalgebra.2019.07.027</a> Brown A. 2019. Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra. 538, 261–289. Brown, Adam. “Arakawa-Suzuki Functors for Whittaker Modules.” <i>Journal of Algebra</i>, vol. 538, Elsevier, 2019, pp. 261–89, doi:<a href="https://doi.org/10.1016/j.jalgebra.2019.07.027">10.1016/j.jalgebra.2019.07.027</a>. A. Brown, “Arakawa-Suzuki functors for Whittaker modules,” <i>Journal of Algebra</i>, vol. 538. Elsevier, pp. 261–289, 2019. Brown, Adam. “Arakawa-Suzuki Functors for Whittaker Modules.” <i>Journal of Algebra</i>. Elsevier, 2019. <a href="https://doi.org/10.1016/j.jalgebra.2019.07.027">https://doi.org/10.1016/j.jalgebra.2019.07.027</a>. Brown, A. (2019). Arakawa-Suzuki functors for Whittaker modules. <i>Journal of Algebra</i>. Elsevier. <a href="https://doi.org/10.1016/j.jalgebra.2019.07.027">https://doi.org/10.1016/j.jalgebra.2019.07.027</a> 68282019-08-22T07:54:13Z2023-08-29T07:11:47Z