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

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Titel: Straightening Identities in the Universal Enveloping Algebra of some Twisted Multiloop Algebras of sl4
Autoren: Chamberlin, Samuel Herron, Niraula, Jagrit
Quelle: The PUMP Journal of Undergraduate Research; Vol. 6 (2023): PUMP Journal of Undergraduate Research; 334-345 ; 2576-3725 ; 2765-8724
Verlagsinformationen: Mathematics Department, California State University, Dominguez Hills
Publikationsjahr: 2023
Bestand: California State University (CSU): Open Journal Systems
Schlagwörter: multiloop algebras, Lie algebras, straightening identities, universal enveloping algebras
Beschreibung: 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.
Publikationsart: article in journal/newspaper
Dateibeschreibung: application/pdf
Sprache: English
Relation: https://journals.calstate.edu/pump/article/view/3920/3361; https://journals.calstate.edu/pump/article/view/3920
Verfügbarkeit: https://journals.calstate.edu/pump/article/view/3920
Rights: Copyright (c) 2023 Samuel Herron Chamberlin, Jagrit Niraula
Dokumentencode: edsbas.4234C816
Datenbank: BASE
Beschreibung
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.