On the restricted Verma modules at the critical level

• 荒川, 知幸

• Fiebig, Peter

抄録

We study the restricted Verma modules of an affine Kac-Moody algebra at the critical level with a special emphasis on their Jordan-Hölder multiplicities. Feigin and Frenkel conjectured a formula for these multiplicities that involves the periodic Kazhdan-Lusztig polynomials. We prove this conjecture for all subgeneric blocks and for the case of anti-dominant simple subquotients.

収録刊行物

• Transactions of the American Mathematical Society

  Transactions of the American Mathematical Society 364 (9), 4683-4712, 2012-09-01

  American Mathematical Society

詳細情報

• CRID: 1050282810711400832
• NII論文ID: 120004247241
• NII書誌ID: AA00865686
• ISSN: 00029947
• HANDLE: 2433/157345
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles