Publications (74)
Isomorphisms of algebras of smooth functions revisited
Janusz Grabowski
Entanglement for multipartite systems of indistinguishable particles
Janusz Grabowski, Marek Kus, Giuseppe Marmo
Segre maps and entanglement for multipartite systems of indistinguishable particles
Janusz Grabowski, Marek Kus, Giuseppe Marmo
On quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
Lie algebroids and Poisson-Nijenhuis structures
Janusz Grabowski, Pawel Urbanski
On Quantizing Nilpotent and Solvable Basic Algebras
Mark J. Gotay, Janusz Grabowski
Duality for graded manifolds
Janusz Grabowski, MichaÅ Jóźwikowski, MikoÅaj Rotkiewicz
On the relation between states and maps in infinite dimensions
Janusz Grabowski, Marek Kus, Giuseppe Marmo
Jacobi structures revisited
Janusz Grabowski, Giuseppe Marmo
On Filippov algebroids and multiplicative Nambu-Poisson structures
Janusz Grabowski, Giuseppe Marmo
The Supergeometry of Loday Algebroids
Janusz Grabowski, David Khudaverdyan, Norbert Poncin
Graded contact manifolds and contact Courant algebroids
Janusz Grabowski
Polynomial Algebras on Coadjoint Orbits of Semisimple Lie Groups
Mark J. Gotay, Janusz Grabowski, Bryon Kaneshige
Modular classes revisited
Janusz Grabowski
Remarks on Contact and Jacobi Geometry
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
An Obstruction to Quantizing Compact Symplectic Manifolds
Mark J. Gotay, Janusz Grabowski, Hendrik B. Grundling
Quantum Bi-Hamiltonian Systems
José F. Cariñena, Janusz Grabowski, Giuseppe Marmo
Higher order mechanics on graded bundles
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
AV-differential geometry: Poisson and Jacobi structures
Katarzyna Grabowska, Janusz Grabowski, Pawel Urbanski
Superposition rules, Lie theorem and partial differential equations
José F. Cariñena, Janusz Grabowski, Giuseppe Marmo
Variational calculus with constraints on general algebroids
Katarzyna Grabowska, Janusz Grabowski
Higher vector bundles and multi-graded symplectic manifolds
Janusz Grabowski, Mikolaj Rotkiewicz
Algebroids - general differential calculi on vector bundles
Janusz Grabowski, Pawel Urbanski
Tulczyjew triples: from statics to field theory
Katarzyna Grabowska, Janusz Grabowski
Quasi-Lie schemes: theory and applications
Jose F. Carinena, Janusz Grabowski, Javier de Lucas
Graded Bundles in the Category of Lie Groupoids
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
$\mathbb{Z}_2^n$-Supergeometry II: Batchelor-Gawedzki Theorem
Tiffany Covolo, Janusz Grabowski, Norbert Poncin
Linear duals of graded bundles and higher analogues of (Lie) algebroids
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
Wigner's Theorem and geometry of extreme positive maps
Janusz Grabowski, Marek Kus, Giuseppe Marmo
Pre-Courant Algebroids
Andrew James Bruce, Janusz Grabowski
Courant algebroid and Lie bialgebroid contractions
Jose F. Carinena, Janusz Grabowski, Giuseppe Marmo
Lie algebraic characterization of manifolds
Janusz Grabowski, Norbert Poncin
Geometric structures encoded in the Lie structure of an Atiyah algebroid
Janusz Grabowski, Alexei Kotov, Norbert Poncin
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek KuÅ, Giuseppe Marmo
Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
Janusz Grabowski, Pawel Urbanski
Tulczyjew triples in the constrained dynamics of strings
Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski
Quasi-derivations and QD-algebroids
Janusz Grabowski
The Schroedinger operator as a generalized Laplacian
Katarzyna Grabowska, Janusz Grabowski, Pawel Urbanski
Splitting theorem for $\mathbb{Z}_2^n$-supermanifolds
Tiffany Covolo, Janusz Grabowski, Norbert Poncin
Pontryagin Maximum Principle - a generalization
Janusz Grabowski, Michal Jozwikowski
Lie algebaic characterization of supercommutative space
Janusz Grabowski, Alexei Kotov, Norbert Poncin
Local Lie algebra determines base manifold
Janusz Grabowski
$\mathbb{Z}_2^n$-Supergeometry I: Manifolds and Morphisms
Tiffany Covolo, Janusz Grabowski, Norbert Poncin
Generalized n-Poisson brackets on a symplectic manifold
Janusz Grabowski, Giuseppe Marmo
Polarisation of Graded Bundles
Andrew James Bruce, Janusz Grabowski, Mikolaj Rotkiewicz
Representations up to homotopy from weighted Lie algebroids
Andrew James Bruce, Janusz Grabowski, Luca Vitagliano
Dirac Algebroids in Lagrangian and Hamiltonian Mechanics
Katarzyna Grabowska, Janusz Grabowski
The graded Jacobi algebras and (co)homology
Janusz Grabowski, Giuseppe Marmo
Symmetries, group actions, and entanglement
Janusz Grabowski, Marek Kus, Giuseppe Marmo
AV-differential geometry: Euler-Lagrange equations
Katarzyna Grabowska, Janusz Grabowski, PaweÅUrbaÅski
The Lie algebra of a Lie algebroid
Janusz Grabowski, Katarzyna Grabowska
Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions
Dmitri V. Alekseevsky, Janusz Grabowski, Giuseppe Marmo +1
Courant-Nijenhuis tensors and generalized geometries
Janusz Grabowski
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings
Katarzyna Grabowska, Janusz Grabowski, Pawel Urbanski
Searching for extremal PPT entangled states
Remigiusz Augusiak, Janusz Grabowski, Marek KuÅ +1
Lie brackets on affine bundles
Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski
An introduction to loopoids
Janusz Grabowski
Binary operations in classical and quantum mechanics
Janusz Grabowski, Giuseppe Marmo
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
Double Affine Bundles
Janusz Grabowski, Mikolaj Rotkiewicz, Pawel Urbanski
On characterization of Poisson and Jacobi structures
Janusz Grabowski, Pawel Urbanski
The category of $\mathbb{Z}_2^n$-supermanifolds
Tiffany Covolo, Janusz Grabowski, Norbert Poncin
Modular classes of skew algebroid relations
Janusz Grabowski
Convex bodies of states and maps
Janusz Grabowski, Alberto Ibort, Marek KuÅ +1
Derivation algebras of toric varieties
Antonio Campillo, Janusz Grabowski, Gerd Müller
Lie families: theory and applications
Jose F. Carinena, Janusz Grabowski, Javier de Lucas
Brackets
Janusz Grabowski
Remarks on generalized Lie algebroids and related concepts
Katarzyna Grabowska, Janusz Grabowski
Revisiting Lie integrability by quadratures from a geometric perspective
José F. Cariñena, Fernando Falceto, Janusz Grabowski +1
Mixed superposition rules and the Riccati hierarchy
Janusz Grabowski, Javier de Lucas
Homology and modular classes of Lie algebroids
Janusz Grabowski, Giuseppe Marmo, Peter W. Michor
Graded bundles and homogeneity structures
Janusz Grabowski, Mikolaj Rotkiewicz
Remarks on Nambu-Poisson and Nambu-Jacobi brackets
Janusz Grabowski, Giuseppe Marmo
Tangent Lifts of Poisson and Related Structures
Janusz Grabowski, Pawel Urbanski