On the restricted Verma modules at the critical level

Fiebig P, Arakawa T (2012)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Transactions of the American Mathematical Society American Mathematical Society

Publisher: American Mathematical Society

Book Volume: 364

Pages Range: 4683-4712

Journal Issue: 9

DOI: 10.1090/S0002-9947-2012-05467-5

Abstract

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. © 2012 American Mathematical Society.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

Involved external institutions

Kyoto University / 京都大学 Kyōto daigaku JP Japan (JP)

How to cite

APA:

Fiebig, P., & Arakawa, T. (2012). On the restricted Verma modules at the critical level. Transactions of the American Mathematical Society, 364(9), 4683-4712. https://dx.doi.org/10.1090/S0002-9947-2012-05467-5

MLA:

Fiebig, Peter, and Tomoyuki Arakawa. "On the restricted Verma modules at the critical level." Transactions of the American Mathematical Society 364.9 (2012): 4683-4712.

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