132 citations · 1.9k across the 101 of their papers we have counts for
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math.DG2005
On quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisi…
math-ph2005★ 92 cited
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek Kuś, Giuseppe Marmo
Various problems concerning the geometry of the space $u^*(\cH)$ of Hermitian operators on a Hilbert space $\cH$ are addressed. In particular, we study the canonical Poisson and Ri…
math.DG2005
Local Lie algebra determines base manifold
Janusz Grabowski
It is proven that a local Lie algebra in the sense of A. A. Kirillov determines the base manifold up to a diffeomorphism provided the anchor map is nowhere-vanishing. In particular…