Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ

DOI10.1142/S0218216599000419zbMath0933.57007arXivmath/0405504MaRDI QIDQ4268041

Sofia Lambropoulou

Publication date: 4 April 2000

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405504

zbMATH Keywords

Markov tracesArtin braid groupsHOMFLYJones-type invariant

Mathematics Subject Classification ID

Related Items (32)

HOMFLYPT skein sub-modules of the Lens spaces \(L(p,1)\) ⋮ Tied pseudo links \& pseudo knotoids ⋮ Tabulation of prime knots in lens spaces ⋮ Braid pictures for Artin groups ⋮ WEIGHTS OF MARKOV TRACES OF ALEXANDER POLYNOMIALS FOR MIXED LINKS ⋮ Cyclotomic associators and finite type invariants for tangles in the solid torus ⋮ \(p\)-adic framed braids ⋮ A framization of the Hecke algebra of type B ⋮ A new basis for the homflypt skein module of the solid torus ⋮ Congruence skein relations for colored HOMFLY-PT invariants ⋮ The Kauffman bracket skein module of the lens spaces via unoriented braids ⋮ Pseudo links in handlebodies ⋮ On the KBSM of links in lens spaces ⋮ Induced representations and traces for chains of affine and cyclotomic Hecke algebras. ⋮ Braid equivalences in 3-manifolds with rational surgery description ⋮ Tied links in various topological settings ⋮ A spanning set and potential basis of the mixed Hecke algebra on two fixed strands ⋮ Markov traces and generic degrees in type \(B_n\). ⋮ Weights of Markov traces and generic degrees ⋮ Actions of tensor categories, cylinder braids and their Kauffman polynomial ⋮ Weights of Markov traces on cyclotomic Hecke algebras ⋮ Cyclotomic Birman-Murakami-Wenzl algebras. ⋮ KNOT THEORY IN HANDLEBODIES ⋮ Reflection Groups ⋮ ON THE MARKOV TRACE FOR TEMPERLEY–LIEB ALGEBRAS OF TYPE E_n ⋮ The Alexander polynomial for closed braids in lens spaces ⋮ New skein invariants of links ⋮ An important step for the computation of the HOMFLYPT skein module of the lens spaces L(p,1) via braids ⋮ CYCLOTOMIC BIRMAN–WENZL–MURAKAMI ALGEBRAS, I: FREENESS AND REALIZATION AS TANGLE ALGEBRAS ⋮ A braids and ties algebra of type \texttt{B} ⋮ OCNEANU'S TRACE AND STARKEY'S RULE ⋮ Tied links in the solid torus

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Dichromatic Link Invariants

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