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Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds.
- Source :
-
Letters in Mathematical Physics . Jan2021, Vol. 111 Issue 1, p1-24. 24p. - Publication Year :
- 2021
-
Abstract
- We construct covariant q-deformed holomorphic structures for all finitely generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenberger–Kolb calculi. In the classical limit, these reduce to modules of sections of holomorphic homogeneous vector bundles over irreducible flag manifolds. For the case of simple relative Hopf modules, we show that this covariant holomorphic structure is unique. This generalises earlier work of Majid, Khalkhali, Landi, and van Suijlekom for line modules of the Podleś sphere, and subsequent work of Khalkhali and Moatadelro for general quantum projective space. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03779017
- Volume :
- 111
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Letters in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 148330178
- Full Text :
- https://doi.org/10.1007/s11005-020-01340-7