Realization of \(U_q({\mathfrak{sp}}_{2n})\) within the differential algebra on quantum symplectic space
DOI10.3842/SIGMA.2017.084zbMath1403.17011arXiv1609.05270OpenAlexW2523544109MaRDI QIDQ1680636
Publication date: 16 November 2017
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.05270
differential calculusquantum differential operatorsmodule algebraquantum symplectic groupquantum symplectic space
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) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Quantum groups (quantized function algebras) and their representations (20G42)
Cites Work
- The Green rings of the 2-rank Taft algebra and its two relatives twisted.
- Yetter-Drinfel'd categories associated to an arbitrary bialgebra
- Skew derivations and \(U_ q(sl(2))\)
- Quantum deformations of certain simple modules over enveloping algebras
- Six generator \(q\)-deformed Lorentz algebra
- Differential operators on quantum spaces for \(GL_ q(n)\) and \(SO_ q(n)\)
- \(q\)-deformed Poincaré algebra
- Hopf modules and Yetter-Drinfel'd modules
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Spin geometry on quantum groups via covariant differential calculi
- Realization of \(U_ q(so(N))\) within the differential algebra on \(\mathbb{R}_ q^ N\)
- Loewy filtration and quantum de Rham cohomology over quantum divided power algebra
- Double-bosonization and Majid’s conjecture, (I): Rank-inductions of ABCD
- Quantum groups and representations of monoidal categories
- Double-bosonization of braided groups and the construction of Uq(g)
- Introduction to quantum groups
- Quantum divided power algebra, \(q\)-derivatives, and some new quantum groups
- Covariant differential calculus on the quantum hyperplane
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