Universal R matrices and invariants of quantum supergroups

DOI10.1063/1.529487zbMath0759.17011OpenAlexW1980401544WikidataQ60732524 ScholiaQ60732524MaRDI QIDQ3991588

Mark D. Gould, Ruibin Zhang

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529487

zbMATH Keywords

eigenvaluesuniversal \(R\)-matricesinvariants of quantum supergroups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (18)

General eigenvalue formula for Casimir invariants of type I quantum superalgebras ⋮ A q-superdimension formula for irreps of type I quantum superalgebras ⋮ Eigenvalues of Casimir invariants of Uq (gl(m/n)) ⋮ The quantum super-Yangian and Casimir operators of \(U_ q{\mathfrak {gl}}(M| N)\) ⋮ On the Harish-Chandra homomorphism for quantum superalgebras ⋮ 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)] ⋮ Classification of unitary and grade star irreps for U q (osp(2‖2n)) ⋮ Universal L operator and invariants of the quantum supergroup U q (gl(m/n)) ⋮ Braid group representations arising from quantum supergroups with arbitrary q and link polynomials ⋮ Casimir invariants from quasi-Hopf (super)algebras ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ Two variable link polynomials from quantum supergroups ⋮ Quantum Yang-Baxter equation and constantR-matrix over Grassmann algebra ⋮ Baxterization of the \(R\)-matrix for the adjoint representation of \(U_ q[D(2,1; {\alpha{}})\)] ⋮ Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n)) ⋮ Eigenvalues of Casimir invariants for Uq[osp(m∣n)]

Cites Work

• Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)
• Hidden quantum group symmetry and integrable perturbations of conformal field theories
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• A quantum group structure in integrable conformal field theories
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum group invariants and link polynomials
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• Solutions of the graded classical Yang-Baxter equation and integrable models
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links

This page was built for publication: Universal R matrices and invariants of quantum supergroups