An integral basis for the universal enveloping algebra of the Onsager algebra

DOI10.1080/00927872.2021.2006207OpenAlexW3215046748MaRDI QIDQ5072703

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Publication date: 4 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11219

zbMATH Keywords

Lie algebrasintegral formsOnsager

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65)

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Cites Work

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• Integral bases for the universal enveloping algebras of Cartan map superalgebras
• Integral bases for the universal enveloping algebras of map algebras
• The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra
• Finite-dimensional representations of hyper loop algebras
• The arithmetic theory of loop algebras
• Finite-dimensional representations of hyper multicurrent and multiloop algebras
• Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory
• The universal central extension of the three-point $\mathfrak {sl}_2$ loop algebra
• Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras
• Weyl modules and Weyl functors for hyper-map algebras
• Irreducible finite-dimensional representations of equivariant map algebras
• Finite-Dimensional Representations of Twisted Hyper-Loop Algebras
• The $S_4$-action on tetrahedron algebra
• Introduction to Lie Algebras and Representation Theory
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• The algebraic structure of the Onsager algebra

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