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Showing 1 to 8 of 8 for “"Temperley-Lieb"”.
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Modular Temperley-Lieb Theory
… considers the representation theory of Temperley-Lieb algebras, TLₙ , along with some related cellular algebras, over positive and mixed characteristic fields. The Temperley-Lieb algebras are planar diagrammatic algebras. They are generated by “(n, n)-diagrams”: planar pair matchings …
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Soergel Diagrammatics for Dihedral Groups
… group W, finite or infinite. The (two-colored) Temperley-Lieb category is embedded inside this category as the degree 0 morphisms between color-alternating objects. The indecomposable Soergel bimodules are the images of Jones-Wenzl projectors. When W is finite, the Temperley-Lieb category must …
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Odd annular Bar-Natan Category and Gl(1|1)
… two monoidal supercategories: the odd dotted Temperley-Lieb category TLo,•(δ), which is a generalization of the odd Temperley-Lieb category studied by Brun-dan and Ellis in [5], and the odd annular Bar-Natan category BNo(A), which generalizes the odd Bar-Natan category studied by Putyra in …
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The representation theory of diagram algebras
… along with a brief consideration of the Temperley-Lieb algebra. The representation theory of these algebras in characteristic zero is well understood, and we show that it can be described through the action of a reflection group on the set of simple modules (a result previously known for …
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Comparing products of Schur functions and quasisymmetric functions
… of Klyachko cone and the theory of Temperley-Lieb immanants.
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From Homological Algebra To Topology via Type B Zigzag Algebra and Heisenberg Algebra
… conjecture that the span of such vectors forms a Temperley-Lieb representation, and hence, a new presentation of Jones polynomial can be obtained.
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From Homological Algebra To Topology via Type B Zigzag Algebra and Heisenberg Algebra
… conjecture that the span of such vectors forms a Temperley-Lieb representation, and hence, a new presentation of Jones polynomial can be obtained.
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Constructing Hecke-type Structures, their Representations and Applications
… tangles we also obtain representations of the Temperley-Lieb algebra and the a�ne braid group. We conclude this thesis with our interpretation of the central role of the Hecke algebra in the development of knot theory. More speci�cally we explicitly derive the HOMFLY and Jones polynomials.