Twisted quantum doubles.
Fukuda, Daijiro, Kuga, Ken'ichi (2004)
International Journal of Mathematics and Mathematical Sciences
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Fukuda, Daijiro, Kuga, Ken'ichi (2004)
International Journal of Mathematics and Mathematical Sciences
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Ogievetsky, O.
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A. Van Daele, S. Van Keer (1994)
Compositio Mathematica
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Caenepeel, S., Dăscălescu, S., Militaru, G., Panaite, F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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...
Ionescu, Lucian M., Marsalli, Michael (2008)
APPS. Applied Sciences
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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...
Florin Panaite (2012)
Czechoslovak Mathematical Journal
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The so-called “invariance under twisting” for twisted tensor products of algebras is a result stating that, if we start with a twisted tensor product, under certain circumstances we can “deform” the twisting map and we obtain a new twisted tensor product, isomorphic to the given one. It was proved before that a number of independent and previously unrelated results from Hopf algebra theory are particular cases of this theorem. In this article we show that some more results from literature...
Sommerhäuser, Yorck (1996)
The New York Journal of Mathematics [electronic only]
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