TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
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Publication:4293449
DOI10.1142/S0218216594000071zbMath0804.16002MaRDI QIDQ4293449
Publication date: 4 July 1994
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Brauer algebratransfer matrixirreducible representationsPotts modelsstatistical mechanicsTemperley-Lieb algebrapartition algebrasemi-simple generic structuretransverse lattices
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Interacting particle systems in time-dependent statistical mechanics (82C22) Classical equilibrium statistical mechanics (general) (82B05) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Representation theory of associative rings and algebras (16G99)
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