Zobrazeno 1 - 10
of 173
pro vyhledávání: '"Bichon, Julien"'
Autor:
Bichon, Julien
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G5, Pp 561-582 (2022)
We discuss the question of whether the global dimension is a monoidal invariant for Hopf algebras, in the sense that if two Hopf algebras have equivalent monoidal categories of comodules, then their global dimensions should be equal. We provide sever
Externí odkaz:
https://doaj.org/article/d5d829eacf3d4b2f92b1a7fd1ea9552a
Autor:
Bichon, Julien, García, Agustín
We describe Hopf-Galois objects over bicrossed product Hopf algebras. More precisely, we show that any right Hopf-Galois object over a bicrossed product of Hopf algebras is obtained from Hopf-Galois objects over the two factors and a certain twisting
Externí odkaz:
http://arxiv.org/abs/2410.19325
Autor:
Bichon, Julien, Nguyen, Thi Hoa Emilie
We show that for a braided Hopf algebra in the category of comodules over a cosemisimple coquasitriangular Hopf algebra, the Hochschild cohomological dimension, the left and right global dimensions and the projective dimensions of the trivial left an
Externí odkaz:
http://arxiv.org/abs/2410.16768
Autor:
Bichon, Julien
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomolog
Externí odkaz:
http://arxiv.org/abs/2309.10434
Autor:
Bichon, Julien
Twisted separable functors generalize the separable functors of Nastasescu, Van den Bergh and Van Oystaeyen, and provide a convenient tool to compare various projective dimensions. We discuss when an adjoint functor is twisted separable, obtaining a
Externí odkaz:
http://arxiv.org/abs/2307.05980
Autor:
Bichon, Julien
Let $H$ be a Hopf algebra and let $A\subset H$ be a right coideal subalgebra. We show that if $A$ is a direct summand in $H$ as a right $A$-module, then $H$ is faithfully flat as a right $A$-module.
Externí odkaz:
http://arxiv.org/abs/2301.05480
Autor:
Bichon, Julien
We discuss the question of whether the global dimension is a monoidal invariant for Hopf algebras, in the sense that if two Hopf algebras have equivalent monoidal categories of comodules, then their global dimensions should be equal. We provide sever
Externí odkaz:
http://arxiv.org/abs/2102.02479
Autor:
Bichon, Julien, Paradis, Maeva
We provide isomorphism results for Hopf algebras that are obtained as graded twistings of function algebras on finite groups by cocentral actions of cyclic groups. More generally , we also consider the isomorphism problem for finite-dimensional Hopf
Externí odkaz:
http://arxiv.org/abs/2003.05172
We provide necessary and sufficient conditions to extend the Hopf-Galois algebra structure on an algebra R to a generalized ambiskew ring based on R, in a way such that the added variables for the extension are skew-primitive in an appropriate sense.
Externí odkaz:
http://arxiv.org/abs/1910.14363
Publikováno v:
New York Journal of Mathematics Volume 23 (2017) 1671-1695
We show that $A_s(n)$, the coordinate algebra of Wang's quantum permutation group, is Calabi-Yau of dimension $3$ when $n\geq 4$, and compute its Hochschild cohomology with trivial coefficients. We also show that, for a larger class of quantum permut
Externí odkaz:
http://arxiv.org/abs/1704.00589