Krutov A. Holomorphic relative Hopf modules over the irreducible quantum flag manifolds (abstract)

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Speaker: Andrey Krutov

Title: Holomorphic relative Hopf modules over the irreducible quantum flag manifolds

Abstract:
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.

References:
Fredy Díaz García, Andrey Krutov, Réamonn Ó Buachalla, Petr Somberg and Karen R. Strung, Holomorphic relative Hopf modules over the irreducible quantum flag manifolds, Lett. Math. Phys. 111 (2021), 10, arXiv:2005.09652

Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.