Geometry of Quantum Homogeneous Supervector Bundles and Representation Theory of Quantum General Linear Supergroup
Quantum Algebra
2007-05-23 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.math/9803031,
title = {Geometry of Quantum Homogeneous Supervector Bundles and Representation Theory of Quantum General Linear Supergroup},
author = {R. B. Zhang},
journal= {arXiv preprint arXiv:math/9803031},
year = {2007}
}
Comments
To appear in the Proceedings of the Fifth International Wigner Symposium, 25-29 August 1997, Vienna