arXiv math/98030311998-03-10math.QAmath.RT

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

R. B. Zhang

备注：: To appear in the Proceedings of the Fifth International Wigner Symposium, 25-29 August 1997, Vienna

英文摘要：

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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