Relating the approaches to quantised algebras and quantum groups

DOI10.1007/BF02096556zbMath0721.17016OpenAlexW2052836645MaRDI QIDQ2640689

Nigel J. Burroughs

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02096556

zbMATH Keywords

Hopf structurequantized algebraquotient structurequantum double constructionmatrix formatrepresentations of quantum group

Mathematics Subject Classification ID

Related Items (13)

Spectral extension of the quantum group cotangent bundle ⋮ Casimir operators of U q sl(3) ⋮ \(q\)-analog of \(A_{m-1}\oplus A_{n-1}\subset A_{mn-1}\) ⋮ Duality for the matrix quantum group GLp,q(2,C) ⋮ Quantization of Lie group and algebra of G2 type in the Faddeev–Reshetikhin–Takhtajan approach ⋮ SU q (3) corepresentations and bivariate q-Krawtchouk polynomials ⋮ On the geometry of the quantum Poincaré group ⋮ Differential calculus on quantized simple Lie groups ⋮ Colored quantum universal enveloping algebras ⋮ Vector fields on complex quantum groups ⋮ The Hopf algebra of vector fields on complex quantum groups ⋮ Symmetric pairs for quantized enveloping algebras ⋮ On the \(q\)-commutations in \(U_q({\mathfrak n})\) at roots of one

Cites Work

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• Some remarks on Koszul algebras and quantum groups
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• The universal R-matrix for \(U_ qsl(3)\) and beyond!
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• On a generalization of the Hopf fibration. I
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS

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