Generalized Casimir Operators

2016/02/25 by Rao, S. Eswara
#17B10 #17B65 #17B69 #17B70 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1602.07847

Abstract

Let G be symmetrizable Kac-Moody Lie algebra. In this paper we describe a new class of central operators generalising the Casimir operator. We also prove some properties of these operators and show that these operators move highest weight vectors to new highest weight vectors.

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