Twisted bialgebroids versus bialgebroids from a Drinfeld twist
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Publication:2965741
DOI10.1088/1751-8121/50/5/055205zbMath1357.81119arXiv1603.09280OpenAlexW2327078692WikidataQ117553651 ScholiaQ117553651MaRDI QIDQ2965741
Andrzej Zdzisław Borowiec, Anna Pachoł
Publication date: 3 March 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.09280
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Hopf algebras and their applications (16T05)
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Cites Work
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- Noncommutative principal bundles through twist deformation
- \(\kappa\)-Minkowski spacetimes and DSR algebras: fresh look and old problems
- Yetter-Drinfel'd categories associated to an arbitrary bialgebra
- Handbook of algebra. Volume 6
- Twisted gauge theories
- Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications.
- Crossed products and Galois extensions of Hopf algebras
- Algebraic aspects of the quantum Yang-Baxter equation
- Groups of simple algebras
- Groups of algebras over \(A\otimes \bar A\)
- Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
- Quantum group gauge theory on quantum spaces
- From supersymmetry to quantum commutativity
- Erratum: Quantum group gauge theory on quantum spaces
- Bialgebroids, \(\times_A\)-bialgebras and duality
- \(\kappa\)-deformation of phase space; generalized Poincaré algebras and \(R\)-matrix
- New quantum Poincaré algebra and \(\kappa\)-deformed field theory
- The quantum structure of spacetime of the Planck scale and quantum fields
- \(\kappa \)-deformed phase space, Hopf algebroid and twisting
- \(\kappa \)-deformations and extended \(\kappa \)-Minkowski spacetimes
- \(\kappa\)-Poincaré-Hopf algebra and Hopf algebroid structure of phase space from twist
- \(\kappa\)-deformed covariant quantum phase spaces as Hopf algebroids
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Invariance under twisting for crossed products
- Twisting and $\kappa $-Poincaré
- Hopf Algebroid Symmetry of Abstract Frobenius Extensions of Depth 2
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Quantum groups and representations of monoidal categories
- On second quantization on noncommutative spaces with twisted symmetries
- Quantum Poincare group related to the kappa -Poincare algebra
- HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
- Twists, realizations and Hopf algebroid structure of κ-deformed phase space
- Weyl–Wigner formulation of noncommutative quantum mechanics
- A gravity theory on noncommutative spaces
- Quantized Space-Time
- Noncommutative geometry and gravity
- Quantum groupoids
