Straightening Identities in the Universal Enveloping Algebra of some Twisted Multiloop Algebras of sl4

  • Samuel Herron Chamberlin Park University
  • Jagrit Niraula Park University
DOI: https://doi.org/10.46787/pump.v6i0.3920
Keywords: multiloop algebras; Lie algebras; straightening identities; universal enveloping algebras

Abstract

We have formulated and proven some straightening identities in the universal enveloping algebras of the twisted multiloop algebras of sl4 with Chevalley involution twist. These formulas could be useful in investigating the representation theory of this algebra.

Published
2023-11-15
How to Cite
Chamberlin, S. H., & Niraula, J. (2023). Straightening Identities in the Universal Enveloping Algebra of some Twisted Multiloop Algebras of sl4. The PUMP Journal of Undergraduate Research, 6, 334-345. https://doi.org/10.46787/pump.v6i0.3920
Issue
Vol. 6 (2023): PUMP Journal of Undergraduate Research
Section
Articles

Copyright (c) 2023 Samuel Herron Chamberlin, Jagrit Niraula

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