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Your search keyword '"Markov traces"' showing total 2 results
Start Over Descriptor "Markov traces" Topic 0101 mathematics
2 results on '"Markov traces"'

1. The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras

Author

Emmanuel Wagner, L. Poulain d'Andecy, Laboratoire de Mathématiques de Reims (LMR), Université de Reims Champagne-Ardenne (URCA)-Centre National de la Recherche Scientifique (CNRS), Université de Reims Champagne-Ardenne (URCA), Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), and Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB)

Subjects
MSC: Primary 57M27: Invariants of knots and 3-manifolds Secondary 20C08: Hecke algebras and their representations, 20F36: Braid groups, Artin groups, 57M25: Knots and links in $S^3$, Pure mathematics, Markov chain, General Mathematics, 010102 general mathematics, Yokonuma-Hecke algebras, Geometric Topology (math.GT), Linking numbers, 01 natural sciences, Mathematics::Geometric Topology, Matrix (mathematics), Mathematics - Geometric Topology, Markov traces, Mathematics::Quantum Algebra, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], 0103 physical sciences, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 010307 mathematical physics, 0101 mathematics, Representation Theory (math.RT), Link (knot theory), Mathematics - Representation Theory, Mathematics
Abstract

We describe completely the link invariants constructed using Markov traces on the Yokonuma-Hecke algebras in terms of the linking matrix and the HOMFLYPT polynomials of sublinks., 8 pages

Published
2018
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2. Bridges with pillars: a graphical calculus of knot algebra

Author

Tammo tom Dieck

Subjects
0102 computer and information sciences, 01 natural sciences, Quadratic algebra, Filtered algebra, Markov traces, Temperley-Lieb algebras, Mathematics::Quantum Algebra, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Calculus, Root systems, 0101 mathematics, Mathematics::Representation Theory, Hecke algebras, Mathematics, Jordan algebra, Towers of algebras, 010102 general mathematics, Subalgebra, Braid groups, Algebra, Interior algebra, 010201 computation theory & mathematics, Division algebra, Algebra representation, Cellular algebra, Graphical calculus, Geometry and Topology, Knot algebra
Abstract

The paper comprises a graphical calculus which is designed to deal with the Coxeter-Dynkin series of type E and some generalizations. Temperley-Lieb algebras of type E are defined as quotients of Hecke algebras and the module structure of the algebra associated to E 6 is determined. The graphical calculus is a refinement of the calculus for the ordinary Temperley-Lieb algebra: a planar strip is decomposed by the arcs of a diagram into domains and the domains are used to incorporate additional information into the figure.

Published
1997
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