Holomorphic relative Hopf modules over the irreducible quantum flag manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00539373" target="_blank" >RIV/67985840:_____/21:00539373 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10420737
Result on the web
<a href="https://doi.org/10.1007/s11005-020-01340-7" target="_blank" >https://doi.org/10.1007/s11005-020-01340-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-020-01340-7" target="_blank" >10.1007/s11005-020-01340-7</a>

Result language
angličtina
Original language name
Holomorphic relative Hopf modules over the irreducible quantum flag manifolds
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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