Non-abelian or nonabelian may refer to:
*
Non-abelian group
In mathematics, and specifically in group theory, a non-abelian group, sometimes called a non-commutative group, is a group (''G'', ∗) in which there exists at least one pair of elements ''a'' and ''b'' of ''G'', such that ''a'' ∗ '' ...
, in mathematics, a group that is not abelian (commutative)
*
Non-abelian gauge theory
In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups) ...
, in physics, a gauge group that is non-abelian
See also
*
Non-abelian gauge transformation
In theoretical physics, a non-abelian gauge transformation means a gauge transformation taking values in some group ''G'', the elements of which do not obey the commutative law when they are multiplied. By contrast, the original choice of ga ...
, a gauge transformation
*
Non-abelian class field theory In mathematics, non-abelian class field theory is a catchphrase, meaning the extension of the results of class field theory, the relatively complete and classical set of results on abelian extensions of any number field ''K'', to the general Galois ...
, in class field theory
*
Nonabelian cohomology In mathematics, a nonabelian cohomology is any cohomology with coefficients in a nonabelian group, a sheaf of nonabelian groups or even in a topological space.
If homology is thought of as the abelianization of homotopy (cf. Hurewicz theorem), th ...
, a cohomology
*
Abelian (disambiguation)
Abelian may refer to:
Mathematics Group theory
* Abelian group, a group in which the binary operation is commutative
** Category of abelian groups (Ab), has abelian groups as objects and group homomorphisms as morphisms
* Metabelian group, a grou ...
*
{{Mathdab