Search

Your search keyword '"Markov traces"' showing total 3 results
Start Over Descriptor "Markov traces" Search Limiters Available in Library Collection
3 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
Full Text
View/download PDF

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
Full Text
View/download PDF

3. Quotients of the braid group algebras

Author

Bruce W. Westbury

Subjects
Sequence, Polynomial, Trace (linear algebra), String (computer science), Braid group, Braid groups, Lawrence–Krammer representation, Link invariants, Finite dimensional algebras, Braid theory, Mathematics::Geometric Topology, Algebra, Markov traces, Geometry and Topology, Link (knot theory), Mathematics
Abstract

The Jones polynomial was originally defined by constructing a Markov trace on the sequence of Temperley-Lieb algebras. In this paper we give a programme for constructing other link invariants by the same method. The data for the constructions is a representation of the three string braid group.

Published
1997
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results