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math.QA1998
The second cohomology of sl(m|1) with coefficients in its enveloping algebra is trivial
M. Scheunert, R. B. Zhang
Using techniques developed in a recent article by the authors, it is proved that the 2-cohomology of the Lie superalgebra sl(m|1); m > 1, with coefficients in its enveloping algebr…
math.QA1998
Comments on the Noncommutative Geometry of Quantum Homogeneous Vector Bundles
R. B. Zhang
Differential calculi are obtained for quantum homogeneous spaces by extending Woronowicz' approach to the present context. Representation theoretical properties of the differential…
math.QA1998
Geometry of Quantum Homogeneous Supervector Bundles and Representation Theory of Quantum General Linear Supergroup
R. B. Zhang
The quantum general linear supergroup GLq(m|n) is defined and its structure is studied systematically. Quantum homogeneous supervector bundles are introduced following Connes' theo…