On the Determinant of Shapovalov Form for Generalized Verma Modules

Authors: Khomenko A.; Soergel V.W.

Source: Journal of Algebra, Volume 215, Number 1, May 1999 , pp. 318-329(12)

Publisher: Academic Press

Abstract:

We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced from a well-embedded sl(2, ) subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules. Copyright 1999 Academic Press.

Language: English

Document Type: Research article

Affiliations: Department of Mechanics and Mathematics, Kyiv Taras Sheychenko University, 64, Volodymyrska st, Kyiv, 252033, Ukraine

Publication date: 1999-05-01

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• In this Subject: Mathematics and Statistics
• By this author: Khomenko A. ;  Soergel V.W.

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