Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Vercruysse, Joost"'
Autor:
Großkopf, Paul, Vercruysse, Joost
We show that the universal measuring coalgebras between Frobenius algebras turn the category of Frobenius algebras into a Hopf category (in the sense of Batista-Caenepeel-Vercruysse), and the universal comeasuring algebras between Frobenius algebras
Externí odkaz:
http://arxiv.org/abs/2406.18499
In general, universal (co)measuring (co)monoids and universal (co)acting bi/Hopf monoids, which prove to be a useful tool in the classification of quantum symmetries, do not always exist. In order to ensure their existence, the support of a given obj
Externí odkaz:
http://arxiv.org/abs/2406.17684
The universal (co)acting bi/Hopf algebras introduced by Yu.\,I.~Manin, M.~Sweedler and D.~Tambara, the universal Hopf algebra of a given (co)module structure, as well as the universal group of a grading, introduced by J.~Patera and H.~Zassenhaus, fin
Externí odkaz:
http://arxiv.org/abs/2406.17677
This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it provides a Galois correspondence. This correspondence also is a refine
Externí odkaz:
http://arxiv.org/abs/2404.06724
Making the first steps towards a classification of simple partial comodules, we give a general construction for partial comodules of a Hopf algebra \(H\) using central idempotents in right coideal subalgebras and show that any \(1\)-dimensional parti
Externí odkaz:
http://arxiv.org/abs/2310.12728
Let A be a k-algebra over a commutative ring k. By the renowned Tannaka-Krein reconstruction, liftings of the monoidal structure from k-modules to A-modules correspond to bialgebra structures on A and liftings of the closed monoidal structure corresp
Externí odkaz:
http://arxiv.org/abs/2308.09449
Autor:
Großkopf, Paul, Vercruysse, Joost
We show that under mild conditions on the monoidal base category $\mathcal V$, the category ${\sf VHopf}$ of Hopf $\mathcal V$-categories is locally presentable and deduce the existence of free and cofree Hopf categories. We also provide an explicit
Externí odkaz:
http://arxiv.org/abs/2305.03120
Publikováno v:
Canad. J. Math. (2023)
We provide a correspondence between one-sided coideal subrings and one-sided ideal two-sided coideals in an arbitrary bialgebroid. We prove that, under some expected additional conditions, this correspondence becomes bijective for Hopf algebroids. As
Externí odkaz:
http://arxiv.org/abs/2211.07756
We show that the category of partial comodules over a Hopf algebra $H$ is comonadic over ${\sf Vect}_k$ and provide an explicit construction of this comonad using topological vector spaces. The case when $H$ is finite dimensional is treated in detail
Externí odkaz:
http://arxiv.org/abs/2205.08596
Autor:
Großkopf, Paul, Vercruysse, Joost
Publikováno v:
In Journal of Pure and Applied Algebra October 2024 228(10)