From coalgebra to bialgebra for the six-vertex model: the star-triangle relation as a necessary condition for commuting transfer matrices

DOI10.3390/axioms1020186zbMath1293.82006OpenAlexW1998344193MaRDI QIDQ398527

Jeffrey R. Schmidt

Publication date: 15 August 2014

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms1020186

zbMATH Keywords

coalgebraBethe ansatzvertex modelbialgebra

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Bialgebras (16T10) Coalgebras and comodules; corings (16T15)

Related Items (2)

Yang-Baxter systems, algebra factorizations and braided categories. ⋮ On transcendental numbers

Cites Work

• Unnamed Item
• Advanced Statistical Mechanics

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