Duals of quasitriangular Hopf superalgebras and the classical limit
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Publication:4837400
DOI10.1063/1.531167zbMath0832.17013OpenAlexW2014899203MaRDI QIDQ4837400
Publication date: 5 March 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531167
representationssupercommutation relationsduality of quasitriangular Hopf superalgebrasmain commutation relationsquasitriangular Lie superbialgebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) ``Super (or ``skew) structure (16W55) Hopf algebras and their applications (16T05)
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Cites Work
- q-Weyl group and a multiplicative formula for universal R-matrices
- An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
- Quantum R matrix for the generalized Toda system
- Compact matrix pseudogroups
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Multiparametric quantum deformation of the general linear supergroup
- Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)]
- Universal \(R\)-matrix for quantized (super)algebras
- On the defining relations of quantum superalgebras
- The quantum Poincaré-Birkhoff-Witt theorem
- Serre-type relations for special linear Lie superalgebras
- On the antipode of a quasitriangular Hopf algebra
- Roots of unity: Representations for symplectic and orthogonal quantum groups
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
- QUANTUM GROUPS AND DUALITY
- Lie superalgebras
