Colored quantum universal enveloping algebras
From MaRDI portal
Publication:4378339
DOI10.1063/1.532178zbMath0889.17003arXivq-alg/9706002OpenAlexW2024345553MaRDI QIDQ4378339
Publication date: 24 March 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9706002
matrix representationscolored Yang-Baxter equationcolored Hopf algebrascolored quantum universal enveloping algebrascolored quasitriangular Hopf algebrascolored universal \(R\)-matrix
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (4)
ON JORDANIAN Uh,α(gl(2)) ALGEBRA AND ITS T MATRICES VIA A CONTRACTION METHOD ⋮ Contraction of the Gr,s quantum group to its nonstandard analog and corresponding colored quantum groups ⋮ Spectral-Parameter Dependent Yang–Baxter Operators and Yang–Baxter Systems From Algebra Structures ⋮ Duals of colored quantum universal enveloping algebras and colored universal 𝒯-matrices
Cites Work
- Quantum group interpretation of some conformal field theories
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
- Quantum Lie superalgebras and q-oscillators
- Relating the approaches to quantised algebras and quantum groups
- REALIZATION OF FRT ALGEBRA RELATED TO A COLORED BRAID GROUP REPRESENTATION
- A TRIANGULAR DEFORMATION OF THE TWO-DIMENSIONAL POINCARÉ ALGEBRA
- IRREDUCIBLE REPRESENTATIONS OF JORDANIAN QUANTUM ALGEBRA Uh(sl(2)) VIA A NONLINEAR MAP
- (2+1) NULL-PLANE QUANTUM POINCARÉ GROUP FROM A FACTORIZED UNIVERSAL R-MATRIX
- THE UNIVERSAL R-MATRIX FOR THE JORDANIAN DEFORMATION OF sl(2), AND THE CONTRACTED FORMS OF so(4)
- COLORED EXTENSIONS OF GLq(2) QUANTUM GROUP AND RELATED NONCOMMUTATIVE PLANES
- A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Unusual solutions to the Yang-Baxter equation
- Generalized Lie algebras
- The quantum Heisenberg group H(1)q
- The three-dimensional Euclidean quantum group E(3)q and its R-matrix
- Duality for the matrix quantum group GLp,q(2,C)
- Solutions of the nonadditive YBE by spectral parameter factorization and re-Yang-Baxterization
- Quantum harmonic oscillator algebra and link invariants
- COLORED RIBBON HOPF ALGEBRAS AND UNIVERSAL INVARIANTS OF FRAMED LINKS
- Exponential mapping for non-semisimple quantum groups
- UniversalR-matrix for non-standard quantum
- Lie bialgebra quantizations of the oscillator algebra and their universalR-matrices
- New hierarchy of colored-braid-group representations
- Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation
- Coloured FRT algebra and its Yang-Baxterization leading to integrable models with non-additive R-matrices
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Knot Invariants and the Critical Statistical Systems
This page was built for publication: Colored quantum universal enveloping algebras
