Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Sliżewska, Aneta"'
The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie gr
Externí odkaz:
http://arxiv.org/abs/2404.12847
In the framework of the Poisson geometry of twistor space we consider a family of perturbed 3-dimensional Kepler systems. We show that Hamilton equations of this systems are integrated by quadratures. Their solutions for some subcases are given expli
Externí odkaz:
http://arxiv.org/abs/1901.04048
We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP covering the identity map of P and commuting with the action of TG on
Externí odkaz:
http://arxiv.org/abs/1712.08420
In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these structures are arranged in the short exact sequence of complex Banach sub-Po
Externí odkaz:
http://arxiv.org/abs/1703.01134
Publikováno v:
SIGMA 14 (2018), 005, 29 pages
We construct and investigate a short exact sequence of Poisson $\mathcal{VB}$-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. Our results include a description of the structure of the symplectic leaves of
Externí odkaz:
http://arxiv.org/abs/1506.03216
In the paper we study the algebroid A of the groupoid of partially invertible elements over the lattice of orthogonal projections of a $W^*$-algebra. In particular the complex analytic manifold structure of these objects is investigated. The expressi
Externí odkaz:
http://arxiv.org/abs/1401.0810
Autor:
Odzijewicz, Anatol, Sliżewska, Aneta
We investigate the Banach Lie groupoids and inverse semigroups naturally associated to W*-algebras. We also present statements describing relationship between these groupoids and the Banach Poisson geometry which follows in the canonical way from the
Externí odkaz:
http://arxiv.org/abs/1110.6305
Publikováno v:
J. Math. Phys. 48, 023508 (2007)
The one-mode and the two-mode multiboson systems with sl(2,R) symmetry are investigated.Hamiltonians of these systems are integrated using the theory of orthogonal polynomials. The coherent state representation for these systems is constructed.
Externí odkaz:
http://arxiv.org/abs/math-ph/0608023
Publikováno v:
In Journal of Geometry and Physics January 2018 123:385-423
Publikováno v:
In Journal of Geometry and Physics September 2015 95:108-126