ON THE MACKEY FORMULAS FOR CYCLOTOMIC HECKE ALGEBRAS AND CATEGORIES ℴ OF RATIONAL CHEREDNIK ALGEBRAS

• Kuwabara Toshiro

• Miyachi Hyohe

• Wada Kentaro

Abstract

In this paper, we shall establish the Mackey formulas in the following two setups: (i) on the tensor induction and restriction functors on the modules over cyclotomic Hecke algebras (Ariki-Koike algebras) and their standard subalgebras of parabolic subgroups; (ii) on the Bezrukavnikov-Etingof induction and restriction functors [3] among categories ℴ [11] of rational Cherednik algebras for the complex reflection group of type G(r, 1, n) and their parabolic subgroups.

Journal

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 58 (1), 103-134, 2021-01

  Osaka University and Osaka City University, Departments of Mathematics

Details

• CRID: 1390853649695172992
• NII Article ID: 120006998398
• NII Book ID: AA00765910
• DOI: 10.18910/78993
• HANDLE: 11094/78993
• ISSN: 00306126
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
  • KAKEN