English

Generalized Casimir Operators

Representation Theory 2019-04-22 v2

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.

Keywords

Cite

@article{arxiv.1602.07847,
  title  = {Generalized Casimir Operators},
  author = {S. Eswara Rao},
  journal= {arXiv preprint arXiv:1602.07847},
  year   = {2019}
}

Comments

To appear in journal of Algebra and it's Applications

R2 v1 2026-06-22T12:57:33.078Z