Two variable link polynomials from quantum supergroups
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Publication:1202958
DOI10.1007/BF00420752zbMath0777.57005MaRDI QIDQ1202958
Publication date: 20 April 1993
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
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Related Items (25)
General eigenvalue formula for Casimir invariants of type I quantum superalgebras ⋮ Diagonalization of the braid generator on unitary irreps of quantum supergroups ⋮ On the Links–Gould Invariant of Links ⋮ An Infinite Suite of Links–Gould Invariants ⋮ Automatic Evaluation of the Links–Gould Invariant for all Prime Knots of up to 10 Crossings ⋮ Eigenvalues of Casimir invariants for type I quantum superalgebras ⋮ Multiparameter link invariants from quantum supergroups ⋮ Classification of finite dimensional unitary irreps for U q[gl(m‖n)] ⋮ A relation between the LG polynomial and the Kauffman polynomial ⋮ Multivariable link invariants arising from \(\mathfrak {sl}(2|1)\) and the Alexander polynomial ⋮ WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS ⋮ Finite dimensional representations of 𝑈_{𝑞}(𝑠𝑙(2,1)) ⋮ A cubic defining algebra for the Links-Gould polynomial ⋮ A skein relation for the HOMFLYPT polynomials of two-cable links ⋮ A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras ⋮ Representations of a \(\mathbb Z/ 3\mathbb Z\)-quantum group ⋮ On the construction of trigonometric solutions of the Yang-Baxter equation ⋮ ON THE COLORED HOMFLY-PT, MULTIVARIABLE AND KASHAEV LINK INVARIANTS ⋮ The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial? ⋮ Relative (pre)-modular categories from special linear Lie superalgebras ⋮ THE LINKS–GOULD INVARIANT OF CLOSED 3-BRAIDS ⋮ Infinitely many two-variable generalisations of the Alexander-Conway polynomial ⋮ The Kontsevich integral and quantized Lie superalgebras ⋮ Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (\(\dot 0_m| \dot \alpha_n\)) representations of \(U_q[gl(m| n)\)]
Cites Work
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- Quantum field theory and the Jones polynomial
- Quantum group invariants and link polynomials
- Universal \(R\)-matrix for quantized (super)algebras
- Free fermions and the Alexander-Conway polynomial
- Classification of all star and grade star irreps of gl(n‖1)
- Graded solutions of the Yang-Baxter relation and link polynomials
- 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
- QUANTUM SUPERGROUPS AND LINK POLYNOMIALS
- An Invariant of Regular Isotopy
- Lie superalgebras
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