The strongly symmetric elements and solutions of Yang-Baxter equation

DOI10.1016/S0375-9601(99)00535-6zbMath0933.17013arXivmath/0311518OpenAlexW2071234454MaRDI QIDQ1967003

Shouchuan Zhang

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311518

zbMATH Keywords

quantum Yang-Baxter equationconstant classical Yang-Baxter equationstrongly symmetric elements

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Witt and Virasoro algebras as Lie bialgebras
• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• The dual Poincaré-Birkhoff-Witt theorem
• Lie coalgebras
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Classical Yang-Baxter equation and low-dimensional triangular Lie bialgebras
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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