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Theoretical and Mathematical Physics

, Volume 198, Issue 2, pp 284–295 | Cite as

Equivariant Vector Bundles Over Quantum Projective Spaces

  • A. I. MudrovEmail author
Article
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Abstract

We construct equivariant vector bundles over quantum projective spaces using parabolic Verma modules over the quantum general linear group. Using an alternative realization of the quantized coordinate ring of the projective space as a subalgebra in the algebra of functions on the quantum group, we reformulate quantum vector bundles in terms of quantum symmetric pairs. We thus prove the complete reducibility of modules over the corresponding coideal stabilizer subalgebras, via the quantum Frobenius reciprocity.

Keywords

quantum group quantum projective space vector bundle symmetric pair 

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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of LeicesterLeicesterUK

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