Rational solutions of the classical Yang-Baxter equation and quasi-Frobenius Lie algebras

DOI10.1016/S0022-4049(97)00217-XzbMath1072.17503OpenAlexW2010344415WikidataQ115340069 ScholiaQ115340069MaRDI QIDQ1295753

Alexander Stolin

Publication date: 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00217-x

zbMATH Keywords

rational solutionsclassical Yang-Baxter equationquasi-Frobenius subalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Universal enveloping (super)algebras (17B35) Ring-theoretic aspects of quantum groups (16T20) Yang-Baxter equations (16T25)

Related Items (10)

Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings ⋮ Marginal deformations of WZW models and the classical Yang–Baxter equation ⋮ RATIONAL SOLUTIONS OF THE CYBE AND LOCALLY TRANSITIVE ACTIONS ON ISOTROPIC GRASSMANNIANS ⋮ Gauge theory on twist-noncommutative spaces ⋮ Chains of Frobenius subalgebras of so(M) and the corresponding twists ⋮ Invariants of contact Lie algebras ⋮ Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation ⋮ Characteristically nilpotent Lie algebras and symplectic structures ⋮ Homogeneous Yang-Baxter deformations as undeformed yet twisted models ⋮ Yang–Baxter deformations and generalized supergravity—a short summary

Cites Work

• Frobenius Lie algebras
• On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.

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