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

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Názov: Straightening Identities in the Universal Enveloping Algebra of some Twisted Multiloop Algebras of sl4
Autori: Chamberlin, Samuel Herron, Niraula, Jagrit
Zdroj: The PUMP Journal of Undergraduate Research; Vol. 6 (2023): PUMP Journal of Undergraduate Research; 334-345 ; 2576-3725 ; 2765-8724
Informácie o vydavateľovi: Mathematics Department, California State University, Dominguez Hills
Rok vydania: 2023
Zbierka: California State University (CSU): Open Journal Systems
Predmety: multiloop algebras, Lie algebras, straightening identities, universal enveloping algebras
Popis: 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.
Druh dokumentu: article in journal/newspaper
Popis súboru: application/pdf
Jazyk: English
Relation: https://journals.calstate.edu/pump/article/view/3920/3361; https://journals.calstate.edu/pump/article/view/3920
Dostupnosť: https://journals.calstate.edu/pump/article/view/3920
Rights: Copyright (c) 2023 Samuel Herron Chamberlin, Jagrit Niraula
Prístupové číslo: edsbas.4234C816
Databáza: BASE
Popis
Abstrakt: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.