On Weyl modules of cyclotomic q-Schur algebras

• Wada, Kentaro

• Susumu Ariki

  editor

• Hiraku Nakajima

  editor

• Yoshihisa Saito

  editor

• Ken-ichi Shinoda

  editor

• Toshiaki Shoji

  editor

• Toshiyuki Tanisaki

  editor

Bibliographic Information

Other Title

• Algebraic Groups and Quantum Groups

Abstract

We study Weyl modules of cyclotomic q-Schur algebras. In particular, we give a character formula of the Weyl modules by using the Kostka numbers and some numbers obtained from a generalization of Littlewood-Richardson rule. We also study corresponding symmetric functions. Finally, we give some simple applications to modular representations of the cyclotomic q-Schur algebras.

Article

Contemporary Mathematics. 565:261-286 (2012)

Journal

• Contemporary Mathematics

  Contemporary Mathematics 565 261-286, 2012

  American Mathematical Society

Details

• CRID: 1050001338927109888
• NII Article ID: 120007100730
• NII Book ID: AA10617057
• DOI: 10.1090/conm/565
• ISSN: 10983627
• ISSN: 02714132
• HANDLE: 10091/00019818
• Web Site: https://soar-ir.repo.nii.ac.jp/records/19056
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN