Twisted quantum doubles.
Fukuda, Daijiro, Kuga, Ken'ichi (2004)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Itô versus Woronowicz calculus in Itô Hopf algebras”
Twisted quantum doubles.
Hopf structures on the Borel subalgebra of
Ogievetsky, O.
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The Yang-Baxter and pentagon equation
A. Van Daele, S. Van Keer (1994)
Compositio Mathematica
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Coalgebra deformations of bialgebras by Harrison cocycles, copairings of Hopf algebras and double crosscoproducts.
Caenepeel, S., Dăscălescu, S., Militaru, G., Panaite, F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Deformed commutators on comodule algebras over coquasitriangular Hopf algebras
Zhongwei Wang, Guoyin Zhang, Liangyun Zhang (2015)
Colloquium Mathematicae
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We construct quantum commutators on comodule algebras over coquasitriangular Hopf algebras, so that they are quantum group coinvariant and have the generalized antisymmetry and Leibniz properties. If the coquasitriangular Hopf algebra is additionally cotriangular, then the quantum commutators satisfy a generalized Jacobi identity, and turn the comodule algebra into a quantum Lie algebra. Moreover, we investigate the projective and injective dimensions of some Doi-Hopf modules over a...
On Hopf algebra deformation approach to renormalization.
Ionescu, Lucian M., Marsalli, Michael (2008)
APPS. Applied Sciences
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Deformation coproducts and differential maps
R. L. Hudson, S. Pulmannová (2008)
Studia Mathematica
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Let 𝒯 be the Itô Hopf algebra over an associative algebra 𝓛 into which the universal enveloping algebra 𝓤 of the commutator Lie algebra 𝓛 is embedded as the subalgebra of symmetric tensors. We show that there is a one-to-one correspondence between deformations Δ[h] of the coproduct in 𝒯 and pairs (d⃗[h],d⃖[h]) of right and left differential maps which are deformations of the differential maps for 𝒯 [Hudson and Pulmannová, J. Math. Phys. 45 (2004)]. Corresponding to the multiplicativity...