Marco Matassa

activity

20182020

collaborators

4 papers

math.QA2020

Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms

Marco Matassa

We study the twisted Hochschild homology of quantum flag manifolds, the twist being the modular automorphism of the Haar state. We prove that every quantum flag manifold admits a n…

math.QA2019

Kähler structures on quantum irreducible flag manifolds

Marco Matassa

We prove that all quantum irreducible flag manifolds admit Kähler structures, as defined by Ó Buachalla. In order to show this result, we also prove that the differential calculi d…

math.QA2018

The Parthasarathy formula and a spectral triple for the quantum Lagrangian Grassmannian of rank two

Marco Matassa

We show that the Dolbeault--Dirac operator on the quantum Lagrangian Grassmannian of rank two, an example of a quantum irreducible flag manifold, satisfies an appropriate version o…

math.QA2018

Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices

Kenny De Commer, Marco Matassa

Let $U$ be a connected, simply connected compact Lie group with complexification $G$ . Let $u$ and $g$ be the associated Lie algebras. Let $Γ$ be the Dynkin di…