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Exposition: Geometry of Quantum Homogeneous Supervector Bundles and the Representation Theory of the Quantum General Linear Supergroups
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Geometry of Quantum Homogeneous Supervector Bundles and the Representation Theory of the Quantum General Linear Supergroups
Authors: R. B. Zhang,Department of Pure Mathematics,University of Adelaide, North Terrace, Adelaide,S.A. 5001, Australia
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bci1
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- Comments:
- year 1998, 158kb PDF at arxiv.org/PS_cache/math/9803/9803031v1
- Abstract:
- A general definition of the quantum general linear supergroups GLq(m|n) is specified and its structure is studied. Quantum homogeneous supervector bundles are introduced following the A. Connes theory, and it is applied to develop the representation theory for GLq(m|n) quantum supergroups. Quantum Frobenius reciprocity, and a Borel - Weil type theorem are proven for the covariant and contravariant tensor irreducible representations. Keywords: linear quantum supergroup representations, supervector bundles, GLq(m|n) Free download online at: http://arxiv.org/PS_cache/math/pdf/9803/9803031v1.pdf
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Open access:
http://arxiv.org/PS_cache/math/pdf/9803/9803031v1.pdf
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Pending Errata and Addenda
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