THE ALEXANDER AND JONES POLYNOMIALS THROUGH REPRESENTATIONS OF ROOK ALGEBRAS

DOI10.1142/S0218216512501143zbMath1321.57004arXiv1110.0538OpenAlexW2963516497MaRDI QIDQ2920399

Eric Ramos, Ren Yi, Stephen J. Bigelow

Publication date: 16 October 2012

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

Full work available at URL: https://arxiv.org/abs/1110.0538

zbMATH Keywords

Alexander polynomialJones polynomialknot invariantsHecke algebrarepresentations of braid groupsplanar rook algebra

Mathematics Subject Classification ID

Related Items (4)

Congruence Lattices of Ideals in Categories and (Partial) Semigroups ⋮ A categorification of \(\mathbf{U}_T(\mathfrak{sl}(1|1))\) and its tensor product representations ⋮ Infinite index subfactors and the GICAR categories ⋮ Representation of virtual braid groups to rook algebras and virtual links invariants

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• Über Zopfgruppen und gleichsinnig verdrillte Verkettungen
• The planar rook algebra and Pascal's triangle.
• A polynomial invariant for knots via von Neumann algebras
• Braid Groups

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