Coderivations of Cocommutative Coalgebras
نویسندگان
چکیده
منابع مشابه
Forms of Coalgebras and Hopf Algebras
We study forms of coalgebras and Hopf algebras (i.e. coalgebras and Hopf algebras which are isomorphic after a suitable extension of the base field). We classify all forms of grouplike coalgebras according to the structure of their simple subcoalgebras. For Hopf algebras, given a W ∗-Galois field extension K ⊆ L for W a finite-dimensional semisimple Hopf algebra and a K-Hopf algebra H, we show ...
متن کاملScalar Extension of Bicoalgebroids
After recalling the definition of a bicoalgebroid, we define comodules and modules over a bicoalgebroid. We construct the monoidal category of comodules, and define Yetter–Drinfel’d modules over a bicoalgebroid. It is proved that the Yetter–Drinfel’d category is monoidal and pre–braided just as in the case of bialgebroids, and is embedded into the one–sided center of the comodule category. We p...
متن کاملRational Homotopy Automorphisms of E2-operads and the Grothendieck-teichmüller Group
The singular chain complex of the little 2-cubes operad defines an operad in simplicial cocommutative coalgebras. This operad has a dual structure, formed by a cooperad in cosimplicial commutative algebras, which defines model of the prounipotent completion of the topological operad of little
متن کاملCoalgebraic structure of genetic inheritance.
Although in the broadly defined genetic algebra, multiplication suggests a forward direction of from parents to progeny, when looking from the reverse direction, it also suggests to us a new algebraic structure-coalge- braic structure, which we call genetic coalgebras. It is not the dual coalgebraic structure and can be used in the construction of phylogenetic trees. Math- ematically, to constr...
متن کاملCohomology of Categorical Self-Distributivity
We define self-distributive structures in the categories of coalgebras and cocommutative coalgebras. We obtain examples from vector spaces whose bases are the elements of finite quandles, the direct sum of a Lie algebra with its ground field, and Hopf algebras. The selfdistributive operations of these structures provide solutions of the Yang–Baxter equation, and, conversely, solutions of the Ya...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002