منابع مشابه
Hopf-Algebras and Coalgebras in ∞-Categories
The idea of the following is to suggest an ∞-categorical framework within which the ideas of coalgebras and Hopf-algebras (for various degrees of commutativity and cocommutativity) are natural and easy to define. These foundations will be used to describe interesting examples arising in chromatic homotopy theory and elsewhere in forthcoming work (especially with respect to Thom spectra). Sectio...
متن کاملAlgebras and Hopf Algebras in Braided Categories
This is an introduction for algebraists to the theory of algebras and Hopf algebras in braided categories. Such objects generalise super-algebras and super-Hopf algebras, as well as colour-Lie algebras. Basic facts about braided categories C are recalled, the modules and comodules of Hopf algebras in such categories are studied, the notion of ‘braided-commutative’ or ‘braided-cocommutative’ Hop...
متن کاملCoquasitriangular Hopf Algebras in Braided Categories
We study (Hopf) bialgebras in a braided category, which are equipped with an inner twist. By means of the inner twist we define the second mutiplication on the (Hopf) bialgebra, which plays the role of the opposite multiplication. Hence one can define the coquasitriangular structure on these bialgebras. Examples of these bialgebras are reconstructed bialgebras.
متن کاملHopf Algebra Extensions and Monoidal Categories
Tannaka reconstruction provides a close link between monoidal categories and (quasi-)Hopf algebras. We discuss some applications of the ideas of Tannaka reconstruction to the theory of Hopf algebra extensions, based on the following construction: For certain inclusions of a Hopf algebra into a coquasibialgebra one can consider a natural monoidal category consisting of Hopf modules, and one can ...
متن کاملBimonads and Hopf Monads on Categories
The purpose of this paper is to develop a theory of bimonads and Hopf monads on arbitrary categories thus providing the possibility to transfer the essentials of the theory of Hopf algebras in vector spaces to more general settings. There are several extensions of this theory to monoidal categories which in a certain sense follow the classical trace. Here we do not pose any conditions on our ba...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2016
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-016-9615-6