132 citations · 1.9k across the 101 of their papers we have counts for
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Variational calculus with constraints on general algebroids
Katarzyna Grabowska, Janusz Grabowski
Variational calculus on a vector bundle E equipped with a structure of a general algebroid is developed, together with the corresponding analogs of Euler-Lagrange equations. Constr…
The Schroedinger operator as a generalized Laplacian
Katarzyna Grabowska, Janusz Grabowski, Pawel Urbanski
The Schroedinger operators on the Newtonian space-time are defined in a way which make them independent on the class of inertial observers. In this picture the Schroedinger operato…
Braided-Lie bialgebras associated to Kac-Moody algebras
Jan E. Grabowski
Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show…
On the relation between states and maps in infinite dimensions
Janusz Grabowski, Marek Kus, Giuseppe Marmo
Relations between states and maps, which are known for quantum systems in finite-dimensional Hilbert spaces, are formulated rigorously in geometrical terms with no use of coordinat…
Braided enveloping algebras associated to quantum parabolic subalgebras
Jan E. Grabowski
Associated to each subset of the nodes of a Dynkin diagram is a triangular decomposition of the corresponding Lie algebra into three subalgebras $\widetilde{…
Higher vector bundles and multi-graded symplectic manifolds
Janusz Grabowski, Mikolaj Rotkiewicz
A natural explicit condition is given ensuring that an action of the multiplicative monoid of non-negative reals on a manifold F comes from homotheties of a vector bundle structure…