Nonassociative analogs of Lie groupoids
From MaRDI portal
Publication:2672319
DOI10.1016/j.difgeo.2022.101887zbMath1500.22002arXiv2101.07258OpenAlexW3122514441WikidataQ115354354 ScholiaQ115354354MaRDI QIDQ2672319
Zohreh Ravanpak, Janusz Grabowski
Publication date: 8 June 2022
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07258
Poisson manifolds; Poisson groupoids and algebroids (53D17) Loops, quasigroups (20N05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)
Related Items (3)
Natural transformations for quasigroupoids ⋮ On Lie semiheaps and ternary principal bundles ⋮ Discrete mechanics on unitary octonions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic groupoids and discrete constrained Lagrangian mechanics
- \(G_{2}\)-structures and octonion bundles
- Dirac algebroids in Lagrangian and Hamiltonian mechanics
- Algebraic constructions in the category of Lie algebroids
- Quantum and classical pseudogroups. I: Union pseudogroups and their quantization
- Discrete nonholonomic Lagrangian systems on Lie groupoids
- Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids
- Lie's fundamental theorems for local analytical loops
- Lie algebroids and Poisson-Nijenhuis structures
- Dirac actions and Lu's Lie algebroid
- Algebroids -- general differential calculi on vector bundles
- Modular classes of skew algebroid relations
- Discrete dynamics in implicit form
- On the geometry of discrete contact mechanics
- Smooth loops and loop bundles
- Quasigroupoids and weak Hopf quasigroups
- Differential-geometrical methods in statistics
- Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
- An introduction to loopoids
- Pontryagin Maximum Principle on Almost Lie Algebroids
- Discrete mechanics and variational integrators
- SMOOTH LOOPS AND FIBER BUNDLES: THEORY OF PRINCIPAL Q-BUNDLES
- Nonholonomic constraints: A new viewpoint
- Exponential mapping for Lie groupoids
- Symplectic groupoids and Poisson manifolds
- Generalized analytic functions
- Tangent prolongation of $\mathcal{C}^r$-differentiable loops
- Variational calculus with constraints on general algebroids
- Lagrangian submanifolds and dynamics on Lie algebroids
- Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids
- Discrete nonholonomic LL systems on Lie groups
- Lie groupoids in information geometry
- Loops in group theory and Lie theory
This page was built for publication: Nonassociative analogs of Lie groupoids