Quantum double finite group algebras and link polynomials

DOI10.1017/S0004972700016270zbMath0814.57005OpenAlexW2072077955MaRDI QIDQ4299262

Ioannis Tsohantjis, Mark D. Gould

Publication date: 18 June 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700016270

zbMATH Keywords

Markov tracelink polynomialsunitary representations of the braid groupquantum double finite group algebra

Mathematics Subject Classification ID

Related Items (6)

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation ⋮ Anyonic quantum walks ⋮ Unitary R-matrices for topological quantum computing ⋮ Hopf-type deformed oscillators, their quantum double and a \(q\)-deformed Calogero-Vasiliev algebra. ⋮ Quantum Fourier transforms and the complexity of link invariants for quantum doubles of finite groups ⋮ Ambidextrous objects and trace functions for nonsemisimple categories

Cites Work

• Unnamed Item
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The Yang-Baxter equation and invariants of links
• Quantum group invariants and link polynomials
• Quantum groups and diagonalization of the braid generator
• Casimir invariants for Hopf algebras
• Characters of Hopf algebras
• A polynomial invariant for knots via von Neumann algebras
• Generalized Gel’fand invariants and characteristic identities for quantum groups

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