---
_id: '6828'
abstract:
- lang: eng
  text: 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
    .
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Adam
  full_name: Brown, Adam
  id: 70B7FDF6-608D-11E9-9333-8535E6697425
  last_name: Brown
citation:
  ama: 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>
  apa: 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>
  chicago: 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>.
  ieee: A. Brown, “Arakawa-Suzuki functors for Whittaker modules,” <i>Journal of Algebra</i>,
    vol. 538. Elsevier, pp. 261–289, 2019.
  ista: Brown A. 2019. Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra.
    538, 261–289.
  mla: 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>.
  short: A. Brown, Journal of Algebra 538 (2019) 261–289.
date_created: 2019-08-22T07:54:13Z
date_published: 2019-11-15T00:00:00Z
date_updated: 2023-08-29T07:11:47Z
day: '15'
department:
- _id: HeEd
doi: 10.1016/j.jalgebra.2019.07.027
external_id:
  arxiv:
  - '1805.04676'
  isi:
  - '000487176300011'
fulldoi: https://doi.org/10.1016/j.jalgebra.2019.07.027
intvolume: '       538'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1805.04676
month: '11'
oa: 1
oa_version: Preprint
page: 261-289
publication: Journal of Algebra
publication_identifier:
  issn:
  - 0021-8693
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Arakawa-Suzuki functors for Whittaker modules
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 538
year: '2019'
...