- algebras.
Algebroid branch, a
formal power series branch of an
algebraic curve Algebroid cohomology Algebroid multifunction Courant algebroid, an object...
-
algebroids are
Atiyah algebroids. For instance:
tangent algebroids T M {\displaystyle TM} are
trivially transitive (indeed, they are
Atiyah algebroid...
-
properties are independent.
Integrable Lie
algebroids does not need to be transitive; conversely,
transitive Lie
algebroids (often
called abstract Atiyah sequences)...
- In mathematics, R-
algebroids are
constructed starting from groupoids.
These are more
abstract concepts than the Lie
algebroids that play a
similar role...
-
double of a Lie
bialgebra are
special instances of
Courant algebroids. A
Courant algebroid consists of the data a
vector bundle E → M {\displaystyle E\to...
- 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,...
- 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...
-
coincides with that of the
duals of Lie
algebroids. The dual A ∗ {\displaystyle A^{*}} of any Lie
algebroid ( A , [ ⋅ , ⋅ ] ) {\displaystyle (A,[\cdot...
- \Gamma )} of the Hopf-
algebroid is an
abelian category.
There is a
structure theorem pg 7
relating comodules of Hopf-
algebroids and
modules of presheaves...
-
compatible Lie
algebroids defined on dual
vector bundles. They form the
vector bundle version of a Lie bialgebra.
Remember that a Lie
algebroid is defined...
