Twining characters, Konstant's homology formula, and the Bernstein-Gelfand-Gelfand resolu\-tion.
type: Item
instance of: scholarly article
title: Twining characters, Konstant's homology formula, and the Bernstein-Gelfand-Gelfand resolu\-tion.
zbMATH Open document ID: 1044.17016
author: Satoshi Naito
published in: Journal of Mathematics of Kyoto University
publication date: 2002-01-01T00:00:00Z
review text: The author gives a new proof for the formula for the twining character of the Verma module with symmetric highest weight and for the formula for the twining character of the irreducible highest module with symmetric dominant integral highest weight over a symmetrizable generalized Kac-Moody algebra. The original result was obtained in [\textit{J. Fuchs}, \textit{U. Ray} and \textit{C. Schweigert}, J. Algebra 191, No. 2, 518--540 (1997; Zbl 0885.17016)] and [\textit{J. Fuchs}, \textit{B. Schellekens} and \textit{C. Schweigert}, Commun. Math. Phys. 180, No. 1, 39--97 (1996; Zbl 0863.17020)]. The approach presented in the paper under review is based on the existence of a Bernstein-Gelfand-Gelfand resolution, constructed in [\textit{S. Naito}, Publ. Res. Inst. Math. Sci. 29, No. 4, 709--730 (1993; Zbl 0822.17022)].
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B55
zbMATH DE Number: 1910464
zbMATH Keywords: twining character
zbMATH Keywords: generalized Kac-Moody algebra
zbMATH Keywords: Verma module
zbMATH Keywords: highest weight module
zbMATH Keywords: Kostant's homology formula
zbMATH Keywords: Bernstein-Gelfand-Gelfand resolution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250284712
OpenAlex ID: W1534151715
DOI: 10.1215/KJM/1250284712
description: scientific article; zbMATH DE number 1910464