mechanics, the Temperley–Lieb algebra is an algebra from which are built certain transfer matrices, invented by Neville Temperley and Elliott Lieb. It is also...
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model. In 1971 Lieb and Neville Temperley introduced the Temperley-Lieb algebra in order to build certain transfer matrices. This algebra also has links...
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station Search for "Temperley" , "Temperley's", "Temperleys", or "Temperley-s" on Wikipedia. Temperley–Lieb algebra, an algebra from which are built...
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associative algebras considered in combinatorics. The partition algebra and its subalgebras, including the Brauer algebra and the Temperley-Lieb algebra. A differential...
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{2n}{n}}} . This planar algebra encodes the notion of Temperley–Lieb algebra. A semisimple and cosemisimple Hopf algebra over an algebraically closed field is...
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seen by considering, as Louis Kauffman did, the Temperley–Lieb algebra as a particular diagram algebra. An advantage of this approach is that one can pick...
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Its subalgebras include diagram algebras such as the Brauer algebra, the Temperley–Lieb algebra, or the group algebra of the symmetric group. Representations...
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JSTOR 77727. S2CID 122770421. Temperley–Lieb algebra FKT algorithm Western Gazette 7 March 2015 Staff (3 April 2017). "Neville Temperley Obituary". legacy.com...
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{\displaystyle e_{i}} is the Temperley-Lieb algebra T L n ( δ ) {\displaystyle TL_{n}(\delta )} . The Brauer algebra is a cellular algebra. For a pairing A {\displaystyle...
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physicist, co-creator of the Temperley–Lieb algebra Iris Temperley (died 2010), Australian murder victim Joe Temperley (1929–2016), Scottish jazz saxophonist...
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Subfactor (category Von Neumann algebras)
which satisfy the Temperley–Lieb relations at parameter λ = [ M : N ] − 1 {\displaystyle \lambda =[M:N]^{-1}} . Moreover, the algebra generated by the...
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(knot theory) Physical knot theory Planar algebra Smith conjecture Tait conjectures Temperley–Lieb algebra Thurston–Bennequin number Tricolorability Unknotting...
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Diagonally dominant matrix (category Numerical linear algebra)
used to prove that the pairing on diagrams without loops in the Temperley–Lieb algebra is non-degenerate. For a matrix with polynomial entries, one sensible...
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Bratteli diagram (category Operator algebras)
subtracting 1 from a single part. (3) If A i {\displaystyle A_{i}} is the Temperley–Lieb algebra on i strands, the resulting Bratteli has integers i–2k (for k =...
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Markov trace. The "Markov trace" is a trace operator defined on the Temperley–Lieb algebra T L n ( d ) {\displaystyle TL_{n}(d)} as follows: given a T ∈ T...
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Potts and O( N ) models from eigenvalue identities in periodic Temperley–Lieb algebras". Journal of Physics A: Mathematical and Theoretical. 48 (45):...
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idempotent e n {\displaystyle e_{n}} , a special element of the Temperley–Lieb algebra. To define the corresponding WRT-invariant for 3-manifolds, first...
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Categories of abstract algebraic structures including representation theory and universal algebra; Homological algebra; Homotopical algebra; Topology using categories...
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transfer matrix approach, the loop model is written in terms of a Temperley-Lieb algebra with the parameter δ = q + q − 1 {\displaystyle \delta =q+q^{-1}}...
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in the physical properties of liquids and the development of the Temperley-Lieb algebra" 1994 — Andrew Keller British "In recognition of his contributions...
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Further examples include q-Schur algebras, the Brauer algebra, the Temperley–Lieb algebra, the Birman–Murakami–Wenzl algebra, the blocks of the Bernstein–Gelfand–Gelfand...
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[clarification needed] The subject matter of manifolds is a strand common to algebraic topology, differential topology and geometric topology. Terminology: By...
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representation theory of affine Temperley-Lieb algebras, Enseignement Mathematique 1998 John J. Graham, Gustav Lehrer, Cellular Algebras, Inventiones Mathematicae...
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of Potts and O(N) models from eigenvalue identities in periodic Temperley-Lieb algebras". Journal of Physics A. 48 (45): 454003. arXiv:1507.03027. Bibcode:2015JPhA...
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S2CID 17245314. Stroppel, Catharina (2005), "Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors", Duke Mathematical...
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with Randy A. Baadhio, World Scientific Pub Co Inc, 394 pp. 1994, Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, with Sostenes Lins...
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Models', by H.N.V. Temperley. 'Transformation of Ising Models', by I. Syozi. 'Two-dimensional Ferroelectric Models', by E.H. Lieb and Fa Yueh Wu. Volume...
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