The representations of the q-analogue of Brauer's centralizer algebras and the Kauffman polynomial of links

DOI10.2977/prims/1195170569zbMath0723.57006OpenAlexW2083430019MaRDI QIDQ756774

Jun Murakami

Publication date: 1990

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195170569

zbMATH Keywords

linksirreducible representationsKauffman polynomialsBrauer's algebras

Mathematics Subject Classification ID

Related Items (9)

Orbifold subfactors from Hecke algebras ⋮ A modified Brauer algebra as centralizer algebra of the unitary group ⋮ On tensor representations of knot algebras ⋮ Brauer algebras and centralizer algebras for \(\text{SO}(2n,\mathbb{C})\) ⋮ A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ The chromatic Brauer category and its linear representations ⋮ Legendrian DGA representations and the colored Kauffman polynomial ⋮ \(q\)-wedge modules for quantized enveloping algebras of classical type ⋮ Coribbon Hopf (face) algebras generated by lattice models

Cites Work

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• The parallel version of polynomial invariants of links
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• The Yang-Baxter equation and invariants of links
• On the structure of Brauer's centralizer algebras
• Hecke algebras of type \(A_ n\) and subfactors
• The Kauffman polynomial of links and representation theory
• On algebras which are connected with the semisimple continuous groups
• Braids, Link Polynomials and a New Algebra
• Knot Invariants and the Critical Statistical Systems
• Exactly Solvable Models and New Link Polynomials. IV. IRF Models

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