Gröbner–Shirshov Basis for the Onsager and Tetrahedron Algebras

DOI10.1080/00927872.2011.626473zbMath1307.17010OpenAlexW2020971387MaRDI QIDQ4916409

Evgeniĭ Nikolaevich Poroshenko

Publication date: 22 April 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.626473

zbMATH Keywords

Onsager algebraGröbner-Shirshov basistetrahedron algebra

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01)

Cites Work

• The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra
• Chiral Potts model as a descendant of the six-vertex model
• ONSAGER ALGEBRA AND INTERGRABLE LATTICE MODELS
• Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
• The structure of quotients of the Onsager algebra by closed ideals *
• GR BNER–SHIRSHOV BASES FOR THE KAC–MOODY ALGEBRAS OF THE TYPE
• UNSOLVABILITY OF THE EQUALITY PROBLEM AND SUBALGEBRAS OF FINITELY PRESENTED LIE ALGEBRAS
• ONSAGER'S ALGEBRA AND PARTIALLY ORTHOGONAL POLYNOMIALS
• Onsager's algebra and superintegrability
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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