Criteria for the unitarizability of some highest weight modules

Parthasarathy, R. (1980) Criteria for the unitarizability of some highest weight modules Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 89 (1). pp. 1-24. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/89/1/1-24/v...

Abstract

For a linear semisimple Lie group we obtain a necessary and sufficient condition for a highest weight module with non-singular infinitesimal character to be unitarizable.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Highest Weight Module; Spin Module; Formal Dirac Operator; Parabolic Subalgebra; Noncompact Roots; Infinitesimal Character
ID Code:82621
Deposited On:13 Feb 2012 08:02
Last Modified:18 May 2016 23:45

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