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Results tagged with bialgebras
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user 105816
2
votes
turning left modules into right modules over bialgebroids
A first vague idea of why this is the case is given by the facts that any ordinary bialgebra over a field $\Bbbk$ is a particular example of a $\Bbbk$-bialgebroid (and we know that for general bialgebras …
- 718
7
votes
Meaning of coinvariants of a comodule
If $H$ is a $\Bbbk$-Hopf algebra ($\Bbbk$ a field), then for every $H$-Hopf module $M$ you have an isomorphism of Hopf modules $M\cong M^{coH}\otimes H$.
In fact, this is an equivalence and it is kno …
- 718
4
votes
1
answer
740
views
Further developments of Cartier–Gabriel–Kostant–Milnor–Moore Structure Theorem for cocommuta...
A very well-known theorem in Hopf algebra theory (see, for example, Lorenz - A tour of representation theory or the EGNO book (Etingof, Gelaki, Nikshych, and Ostrik - Tensor categories)) states that i …
- 718