almost cocommutative bialgebra
A bialgebra is called almost cocommutative if there is an unit such that
where is the opposite comultiplication (the usual comultiplication, composed with the flip map of the tensor product ). The element is often called the -matrix of .
The significance of the almost cocommutative condition is that gives a natural isomorphism of bialgebra representations, where and are -modules, making the category of -modules into a quasi-tensor or braided monoidal category. Note that is not necessarily the identity (this is the braiding of the category).
|Title||almost cocommutative bialgebra|
|Date of creation||2013-03-22 13:31:50|
|Last modified on||2013-03-22 13:31:50|
|Last modified by||bwebste (988)|