Tensor space representations of Temperley–Lieb algebra via orthogonal projections of rank r ≥ 1

DOI10.1063/1.4927629zbMath1319.17004arXiv1503.06461OpenAlexW3099315091MaRDI QIDQ2945509

Andrei G. Bytsko

Publication date: 11 September 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06461

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple, semisimple, reductive (super)algebras (17B20) Hopf algebras and their applications (16T05)

Related Items (4)

On orthogonal projections related to representations of the Hecke algebra on a tensor space ⋮ Tensor space representations of Temperley–Lieb algebra and generalized permutation matrices ⋮ A relation for the Jones–Wenzl projector and tensor space representations of the Temperley–Lieb algebra ⋮ Yang-Baxter representations of the infinite symmetric group

Cites Work

• Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices
• Temperley-Lieb algebra, Yang-Baxterization and universal gate
• The Clebsch-Gordan quantum coefficients
• Index for subfactors
• Tensor space representations of Temperley–Lieb algebra and generalized permutation matrices
• Non-Hermitian spin chains with inhomogeneous coupling
• Bethe ansatz for the Temperley–Lieb loop model with open boundaries
• Quantum spin chains of Temperley–Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature
• Temperley-Lieb lattice models arising from quantum groups
• On spin systems related to the Temperley–Lieb algebra
• ON ALGEBRAIC DIAGONALIZATION OF THE XXZ CHAIN
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Surface energy of integrable quantum spin chains
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