The universal R-matrix for \(U_ qsl(3)\) and beyond!

DOI10.1007/BF02096496zbMath0701.17006MaRDI QIDQ913930

Nigel J. Burroughs

Publication date: 1990

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

zbMATH Keywords

R-matrixquantized Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

Quantum groups: A review, More on quantum groups from the quantization point of view, Branches, quivers, and ideals for knot complements, Casimir operators of U q sl(3), Relating the approaches to quantised algebras and quantum groups, The q-boson realization of parametrized cyclic representations of quantum algebras at q p = 1, Quantum algebra symmetry of the ASEP with second-class particles, Combinatorial aspects of the quantized universal enveloping algebra of \(\mathfrak {sl}_{n+1}\), On finite dimensional Nichols algebras of diagonal type, Construction of cyclic representations of quantum algebras at \(q^ p=1\) from their regular representations, Notes on quantum groups.

Cites Work

• A quantum group structure in integrable conformal field theories
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Jimbo's q-analogues and current algebras
• Yang-Baxter equation and representation theory. I
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