92 citations · 277 across the 24 of their papers we have counts for
25 papers
The Einstein condition for quantum irreducible flag manifolds
Marco Matassa
We show that any quantum irreducible flag manifold satisfies an analogue of the Einstein condition, expressing proportionality between the Ricci tensor and the metric, at least in…
Some results on the higher-rank graphs associated to crystals of semisimple Lie algebras
Marco Matassa
In this paper we continue the study of the higher-rank graphs associated to finite-dimensional complex semisimple Lie algebras, introduced by the author and R. Yuncken, whose const…
Equivariant quantizations of the positive nilradical and covariant differential calculi
Marco Matassa
Consider a decomposition of the positive nilradical of a complex semisimple Lie algebra of rank , where each…
Crystal limits of compact semisimple quantum groups as higher-rank graph algebras
Marco Matassa, Robert Yuncken
Let denote the quantized coordinate ring over the field of rational functions corresponding to a compact semisimple Lie group , equipped with its *-stru…
Quantum Riemannian geometry of quantum projective spaces
Marco Matassa
We study the quantum Riemannian geometry of quantum projective spaces of any dimension. In particular we compute the Riemann and Ricci tensors, using previously introduced quantum…
Fubini-Study metrics and Levi-Civita connections on quantum projective spaces
Marco Matassa
We introduce analogues of the Fubini-Study metrics and the corresponding Levi-Civita connections on quantum projective spaces. We define the quantum metrics as two-tensors, symmetr…