Multiparameter link invariants from quantum supergroups
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Publication:4300218
DOI10.1063/1.530595zbMath0811.17018OpenAlexW2025872315MaRDI QIDQ4300218
Publication date: 2 May 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://espace.library.uq.edu.au/view/UQ:299701/UQ299701_OA.pdf
representationsbraid groupMarkov traceAlexander-Conway invariantsmultiparameter link invariantsquantum supergroups \(U_ q(\text{gl}(m \mid n))\)
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Braid groups; Artin groups (20F36)
Related Items
General eigenvalue formula for Casimir invariants of type I quantum superalgebras, Diagonalization of the braid generator on unitary irreps of quantum supergroups, MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I
Cites Work
- Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- The Yang-Baxter equation and invariants of links
- Quantum field theory and the Jones polynomial
- Quantum group invariants and link polynomials
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- Universal R matrices and invariants of quantum supergroups
- Braid group representations arising from quantum supergroups with arbitrary q and link polynomials
- Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
- QUANTUM SUPERGROUPS, LINK POLYNOMIALS AND REPRESENTATION OF THE BRAID GENERATOR
- QUANTUM SUPERGROUPS AND LINK POLYNOMIALS
- Lie superalgebras