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Equivariant vector bundles over quantum spheres

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journal contribution
posted on 28.02.2020, 15:15 by Andrey Mudrov
We quantizeSO(2n+ 1)-equivariant vector bundles on an even complex sphereS2nas one-sided projective modules over its quantized coordinate ring. We realize them in two different ways: as linear maps between pseudo-parabolic modules and as induced modules of the orthogonal quantum group. Based on this alternative, we study representations of a quantum symmetric pair related to S2nq and prove their complete reducibility.

Funding

RFBR grant 15-01-03148

History

Citation

Journal of Noncommutative Geometry, 2021, DOI: 10.4171/JNCG/396

Author affiliation

Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Journal of Noncommutative Geometry

Publisher

European Mathematical Society

issn

1661-6952

Acceptance date

29/11/2019

Copyright date

2021

Available date

08/02/2021

Language

en