Markov traces and knot invariants related to Iwahori-Hecke algebras of type B.

By Sofia Lambropoulou, Meinolf Geck. 2004

56 citations recorded by the source corpus.

In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type invariants for oriented knots inside a solid torus, and finally we give skein-theoretical interpretations.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/79dfbdf2ba47b52aa675abe30ef3fda51e51d574

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In Discrete Mathematics and Combinatorics

1. Arun Ram
2. Aaron D. Lauda

In Geometry and Topology

1. Arun Ram
2. Jacqui Ramagge
3. Stephen Griffeth
4. Aaron D. Lauda
5. I. Gordon

In Mathematical Physics

1. Arun Ram
2. Jacqui Ramagge
3. Stephen Griffeth
4. I. Gordon

Citations in the corpus

• Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory (2004, background): “(1.3) Affine braid groups of type A.There are three common ways of depicting affine braids [Cr], [ GL ], [Jo]:”