Definition of Cocommutative. Meaning of Cocommutative. Synonyms of Cocommutative

- correspondence, the commutative finite-dimensional algebras correspond to the cocommutative finite-dimensional coalgebras. So in the finite-dimensional case, the...
- finite-dimensional case[clarification needed], or if H is commutative or cocommutative (or more generally quasitriangular). In general, S is an antihomomorphism...
- certain 4-dimensional quotient of it that is neither commutative nor cocommutative. The following infinite dimensional Hopf algebra was introduced by Sweedler...
- algebra introduced by Earl Taft (1971) that is neither commutative nor cocommutative and has an antipode of large even order. Suppose that k is a field with...
- algebra of a Lie algebra, both of which are also cocommutative Hopf algebras. In general cocommutative Hopf algebras behave very much like groups. For...
- positive selfadjoint graded Hopf algebra that is both commutative and cocommutative. The study of symmetric functions is based on that of symmetric polynomials...
- is in some sense as far as possible from being either commutative or cocommutative. It was introduced by Malvenuto & Reutenauer (1995) and studied by Poirier...
- algebraic topology. The theorem states: given a connected, graded, cocommutative Hopf algebra A over a field of characteristic zero with dim ⁡ A n <...
- y]=xy-yx} (graded commutator if C is graded). If A is a connected graded cocommutative Hopf algebra over a field of characteristic zero, then the Milnor–Moore...
- on how the boundary components are grouped – which is commutative or cocommutative. Further, the map ****ociated with a disk gives a counit (trace) or unit...