Geodesic
Deformed commutators on comodule algebras over coquasitriangular Hopf algebras
Zhongwei Wang 1   ; Guoyin Zhang 1   ; Liangyun Zhang 2
1 Department of Basic Sciences Jinling Institute of Technology Nanjing 211169, P.R. China
2 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
Colloquium Mathematicum, Tome 139 (2015) no. 2, pp. 165-183 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 quantum commutative comodule algebra.
DOI : 10.4064/cm139-2-2
Keywords: construct quantum commutators comodule algebras coquasitriangular hopf algebras quantum group coinvariant have generalized antisymmetry leibniz properties coquasitriangular hopf algebra additionally cotriangular quantum commutators satisfy generalized jacobi identity turn comodule algebra quantum lie algebra moreover investigate projective injective dimensions doi hopf modules quantum commutative comodule algebra

Zhongwei Wang  1   ; Guoyin Zhang  1   ; Liangyun Zhang  2

1 Department of Basic Sciences Jinling Institute of Technology Nanjing 211169, P.R. China
2 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China 
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     title = {Deformed commutators on comodule algebras over coquasitriangular {Hopf} algebras},
     journal = {Colloquium Mathematicum},
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Zhongwei Wang; Guoyin Zhang; Liangyun Zhang. Deformed commutators on comodule algebras over coquasitriangular Hopf algebras. Colloquium Mathematicum, Tome 139 (2015) no. 2, pp. 165-183. doi: 10.4064/cm139-2-2

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