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

Authors

  • 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.

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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