Detailed Information on Publication Record
2023
A Borel-Weil theorem for the quantum Grassmannians
CAROTENUTO, Alessandro, Colin MROZINSKI and Réamonn Ó. BUACHALLABasic information
Original name
A Borel-Weil theorem for the quantum Grassmannians
Authors
CAROTENUTO, Alessandro (380 Italy, guarantor, belonging to the institution), Colin MROZINSKI and Réamonn Ó. BUACHALLA
Edition
Documenta Mathematica, EMS Press, 2023, 1431-0635
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Germany
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/00216224:14310/23:00134241
Organization unit
Faculty of Science
UT WoS
001052392200001
Keywords in English
Quantum groups; noncommutative geometry; quantum flag manifolds; complex geometry
Tags
Tags
International impact, Reviewed
Změněno: 5/4/2024 10:56, Mgr. Marie Šípková, DiS.
Abstract
V originále
We establish a noncommutative generalisation of the Borel–Weil theorem for the celebrated Heckenberger–Kolb calculi of the quantum Grassmannians. The result is formulated in the framework of quantum principal bundles and noncommutative complex structures, and generalises previous work of a number of authors on quantum projective space. As a direct consequence we get a novel noncommutative differential geometric presentation of the twisted Grassmannian coordinate ring studied in noncommutative projective geometry. A number of applications to the noncommutative Kähler geometry of the quantum Grassmannians are also given.
Links
| GX19-28628X, research and development project |
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