Braid group representations arising from quantum supergroups with arbitrary q and link polynomials
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Publication:4030996
DOI10.1063/1.529840zbMath0781.20026OpenAlexW1989841607MaRDI QIDQ4030996
Publication date: 1 April 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529840
link invariantsbraid group representationsquantum supergroupslink polynomialsuniversal \(R\) matrices\(\mathbb{Z}_ 2\)-graded Hopf algebrasquantum supergroup invariant \(\check R\) matrices
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Related Items (13)
A q-superdimension formula for irreps of type I quantum superalgebras ⋮ Towards a loop representation for quantum canonical supergravity ⋮ Eigenvalues of Casimir invariants for type I quantum superalgebras ⋮ Quantum enveloping superalgebras and link invariants ⋮ Multiparameter link invariants from quantum supergroups ⋮ Composite link polynomials from super Chern-Simons theory ⋮ Finite dimensional representations of 𝑈_{𝑞}(𝑠𝑙(2,1)) ⋮ Branes and supergroups ⋮ ON THE Uq(osp(1|2n)) AND U-q(so(2n + 1)) UNCOLORED QUANTUM LINK INVARIANTS ⋮ Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras ⋮ Structure and representations on the quantum supergroup OSPq(2|2n) ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ Geometry and representations of the quantum supergroup OSPq(1|2n)
Cites Work
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- Quantum R matrix for the generalized Toda system
- Quantum field theory and the Jones polynomial
- Quantum group invariants and link polynomials
- Universal \(R\)-matrix for quantized (super)algebras
- Ribbon graphs and their invariants derived from quantum groups
- QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
- IRF MODELS ASSOCIATED WITH REPRESENTATIONS OF THE LIE SUPERALGEBRAS gl(m|n) AND sl(m|n)
- A polynomial invariant for knots via von Neumann algebras
- A new polynomial invariant of knots and links
- Graded representations of the Temperley–Lieb algebra, quantum supergroups, and the Jones polynomial
- Universal R matrices and invariants of quantum supergroups
- Universal L operator and invariants of the quantum supergroup U q (gl(m/n))
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