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A Borel-Weil Theorem for the Quantum Gra...

Carotenuto, Alessand...

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A Borel-Weil Theorem for the Quantum Grassmannians by Carotenuto, Alessandro ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	We establish a noncommutative generalisation of the Borel-Weil theorem for the 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 K\"ahler geometry of the quantum Grassmannians are also given.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1611.07969

Citation

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AMA 11th EditionReferences

Carotenuto, Alessandro. A Borel-Weil Theorem for the Quantum Grassmannians. Australian National University. August 09, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/14294

APA 7th EditionReferences

Carotenuto, Alessandro. (2023). A Borel-Weil Theorem for the Quantum Grassmannians. Australian National University. https://online.provdatabase.com/cite/14294

Chicago 17th EditionReferences

Carotenuto, Alessandro. A Borel-Weil Theorem for the Quantum Grassmannians. Australian National University. 2023. https://online.provdatabase.com/cite/14294

HarvardReferences

Carotenuto, Alessandro. (2023). A Borel-Weil Theorem for the Quantum Grassmannians. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14294. (Accessed 02 October 2025).

Harvard AustraliaReferences

Carotenuto, Alessandro, 2023, A Borel-Weil Theorem for the Quantum Grassmannians, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/14294>

MLA 9th EditionWorks Cited

Carotenuto, Alessandro. A Borel-Weil Theorem for the Quantum Grassmannians. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14294.

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