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Geometry of Quantum Homogeneous Supervector Bundles and Representation Theory of Quantum General Linear Supergroup

R. B. Zhang
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Abstract

The quantum general linear supergroup GLq(m|n) is defined and its structure is studied systematically. Quantum homogeneous supervector bundles are introduced following Connes' theory, and applied to develop the representation theory of GLq(m|n). Quantum Frobenius reciprocity is proven, and a Borel - Weil theorem is established for the irreducible covariant and contravariant tensor representations.

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BibTeXRIS

R. B. Zhang. 1998-03-10. Geometry of Quantum Homogeneous Supervector Bundles and Representation Theory of Quantum General Linear Supergroup. https://arxiv.org/abs/math/9803031

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