Explore: Algebroids

algebroids are Atiyah algebroids. For instance: tangent algebroids T M {\displaystyle TM} are trivially transitive (indeed, they are Atiyah algebroid

algebras. Algebroid branch, a formal power series branch of an algebraic curve Algebroid cohomology Algebroid multifunction Courant algebroid, an object

properties are independent. Integrable Lie algebroids does not need to be transitive; conversely, transitive Lie algebroids (often called abstract Atiyah sequences)

algebras, a Hopf algebroid is a generalisation of weak Hopf algebras, certain skew Hopf algebras and commutative Hopf k-algebroids. If k is a field,

contributions to weak Hopf algebras are to be found in as well as See Hopf algebroid Groups can be axiomatized by the same diagrams (equivalently, operations)

a Courant algebroid is a vector bundle together with an inner product and a compatible bracket more general than that of a Lie algebroid. It is named

third theoremː while several classes of Lie algebroids are integrable, there are examples of Lie algebroids, for instance related to foliation theory,

actually with that of (dual of) Lie algebroids. Indeed, the dual A ∗ {\displaystyle A^{*}} of any Lie algebroid ( A , ρ , [ ⋅ , ⋅ ] ) {\displaystyle

mathematics, an algebroid function is a solution of an algebraic equation whose coefficients are analytic functions. So y(z) is an algebroid function if it

In mathematics, R-algebroids are constructed starting from groupoids. These are more abstract concepts than the Lie algebroids that play a similar role