27 citations · 68 across the 11 of their papers we have counts for
11 papers
A coadjoint orbit-like construction for Jordan superalgebras
Florio M. Ciaglia, Shuhan Jiang, Jürgen Jost +1
We investigate the canonical pseudo-Riemannian metrics associated with Jordan-analogues of the coadjoint orbits for pseudo-Euclidean Jordan superalgebras.
Parametric models and information geometry on W*-algebras
Florio M. Ciaglia, Fabio Di Nocera, Jürgen Jost +1
We introduce the notion of smooth parametric model of normal positive linear functionals on possibly infinite-dimensional W*-algebras generalizing the notions of parametric models…
Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
A geometrical formulation of estimation theory for finite-dimensional -algebras is presented. This formulation allows to deal with the classical and quantum case in a si…
From the Jordan product to Riemannian geometries on classical and quantum states
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
The Jordan product on the self-adjoint part of a finite-dimensional -algebra is shown to give rise to Riemannian metric tensors on suitable manifolds of states…
Strongly homotopy Lie algebras and deformations of calibrated submanifolds
Domenico Fiorenza, Hông Vân Lê, Lorenz Schwachhöfer +1
For an element in the graded vector space of tangent bundle valued forms on a smooth manifold , a -submanifold is defined as a submanifold of such th…
Sheaves on P^1 x P^1, bigraded resolutions, and coadjoint orbits of loop groups
Roger Bielawski, Lorenz Schwachhöfer
We construct a canonical linear resolution of acyclic 1-dimensional sheaves on P^1 x P^1 and discuss the resulting natural Poisson structure.