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- Title
Nichols Algebras and Quantum Principal Bundles.
- Authors
Krutov, Andrey O; Buachalla, Réamonn Ó; Strung, Karen R
- Abstract
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.
- Subjects
ALGEBRA; HOMOGENEOUS spaces; GRASSMANN manifolds; CALCULUS; CALCULI
- Publication
IMRN: International Mathematics Research Notices, 2023, Vol 2023, Issue 23, p20076
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnac366