# Questions tagged [lie-algebroids]

In differential geometry, Lie algebroids generalize on one hand Lie algebras, on the other hand the tangent bundle of a manifold: they are vector bundles equipped with an anchor map, i.e. a vector bundle morphism to the tangent bundle, and a Lie algebra structure on the space of sections subject to certain Leibniz rules. The integrated version of a Lie algebroid is a Lie groupoid. A purely algebraic version is a Lie-Rinehart algebra.

**3**

**0**answers

### Recovering the Weinstein Splitting Theorem for Poisson manifolds using the Local Splitting theorem for Lie algebroids

**2**

**0**answers

### Generalisation of the notion of operad

**1**

**1**answer

### Example of tensor category with non-simple unit $J\to \mathbb{1} \to Q$ and suitably extension $Q\to M\to J$

**6**

**0**answers

### The connection between Lie algebroids and foliations

**3**

**0**answers

### Is there a precisely formulable obstruction for the tangent bundle being a Lie algebra bundle?

**1**

**0**answers

### Computation with Lie algebroid differential?

**3**

**1**answer

### Lie Groupoid of a Transitive Lie algebroid

**-1**

**1**answer

### Is $\mathbb{P}^1$ the only smooth projective curve with a locally split tangent lie algebroid?

**16**

**2**answers

### Is every singular foliation induced by a Lie algebroid?

**2**

**0**answers

### Lie Algebroid Structure on $A_M\times I\longrightarrow M\times I$?

**4**

**0**answers

### Analogue of Kontsevich's formality theorem for quantization of Courant algebroids

**2**

**0**answers

### Action of a Lie groupoid on a Lie Algebroid?

**2**

**0**answers

### Property of Lie Algebroid Morphism?

**2**

**1**answer

### Poisson structure on the dual Lie algebroid

**1**

**1**answer

### Property of Lie algebroid morphism: $\#_B\circ \Phi=d\phi\circ \#_A$?

**4**

**1**answer

### A-Paths as morphisms of Lie Algebroids $TI\longrightarrow A$?

**8**

**0**answers

### Differentiation of Lie $\infty$-groupoids

**10**

**1**answer

### Almost but not quite a Lie algebroid: what is it?

**5**

**1**answer

### AKSZ sigma models for higher spin

**6**

**1**answer

### Continuous and smooth Lie groupoid cohomology

**2**

**1**answer

### What's an example of a commutative algebra over $\mathbb Q$ that fails to satisfy this version of the “PBW theorem”

**9**

**1**answer

### For which algebras does \{Differential Operators\} satisfy a PBW-like theorem?

**11**

**2**answers

### Differential forms on an almost complex manifold

**3**

**3**answers

### Examples of Lie Algebroids

**3**

**3**answers

### Is there any relation between deformation and extension of Lie algebras?

**5**

**3**answers

### Geometry and Integrability in Other Bundles

**2**

**2**answers

### Is the cohomology of the corresponding Lie algebroid an invariant under equivalence of source-simply-connected Lie groupoids?

**3**

**1**answer

### When does a VBLA induce an isomorphism on Lie algebroid cohomology?

**5**

**1**answer

### Do Lie algebroids pull back (along submersions)?

**3**

**3**answers