Quantum principal bundles over quantum real projective spaces

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• 作者：Tomasz Brzeziń ; ski^a ; ^{T.Brzezinski@swansea.ac.uk} ; Bartosz Zieliń ; ski^b ; ^c ; ^{bzielinski@uni.lodz.pl}
• 关键词：Quantum real projective space ; Quantum sphere ; Principal comodule algebra ; Prolongation
• 刊名：Journal of Geometry and Physics
• 出版年：2012
• 期刊代码：29_03930440
• 类别：ph
• 出版时间：May, 2012
• 卷：62
• 期：5
• 页码：1097-1107
• 文件大小：269 K

摘要

Two hierarchies of quantum principal bundles over quantum real projective spaces are constructed. One hierarchy contains bundles with as a structure group, the other has the quantum group as a fibre. Both hierarchies are obtained by the process of prolongation from bundles with the cyclic group of order 2 as a fibre. The triviality or otherwise of these bundles is determined by using a general criterion for a prolongation of a comodule algebra to be a cleft Hopf-Galois extension.