Nichols Algebras and quantum principal bundles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00579222" target="_blank" >RIV/67985840:_____/23:00579222 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/23:10475132
Result on the web
<a href="https://doi.org/10.1093/imrn/rnac366" target="_blank" >https://doi.org/10.1093/imrn/rnac366</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imrn/rnac366" target="_blank" >10.1093/imrn/rnac366</a>

Result language
angličtina
Original language name
Nichols Algebras and quantum principal bundles
Original language description
We introduce a general framework for associating to a homogeneous quantum principal bundle a Yetter-Drinfeld module structure on the cotangent space of the base calculus. The holomorphic and anti-holomorphic Heckenberger-Kolb calculi of the quantum Grassmannians are then presented in this framework. This allows us to express the calculi in terms of the corresponding Nichols algebras. The extension of this result to all irreducible quantum flag manifolds is then conjectured.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ20-17488Y" target="_blank" >GJ20-17488Y: Applications of C*-algebra classification: dynamics, geometry, and their quantum analogues</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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