Temperley–Lieb Algebra¶
Abramsky, S. (2007). Temperley–Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics. Mathematics of Quantum Computation and Quantum Technology.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Temperley–Lieb Algebra
- Temperley–Lieb algebras appear in exactly solvable lattice models and transfer matrices, link and knot invariants, braid-group representations, representation theory of Hecke and quantum groups, spin chains, tensor-network-like link-state calculations, planar algebras, and the basic construction for subfactors
This sourceAbramsky's survey traces the same relation package from statistical-mechanical lattice models through the Jones polynomial and braid representations on into categorical quantum mechanics and logic; the spin-chain, planar-algebra and subfactor items on this list lie outside its scope.
- Temperley–Lieb algebras appear in exactly solvable lattice models and transfer matrices, link and knot invariants, braid-group representations, representation theory of Hecke and quantum groups, spin chains, tensor-network-like link-state calculations, planar algebras, and the basic construction for subfactors
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