2 citations · 2 across the 9 of their papers we have counts for
10 papers
A Solvable Model in the Half-filled Landau Level
Anders Karlhede
A solvable microscopic model of interacting electrons in a half-filled Landau level is presented. The Hamiltonian is a well-defined limit of the electron-electron interaction. The…
Braidings, duoidal categories and pre-Cartier structures for bi(co)modules
Andrea Sciandra, Lukas Simons
We study braidings and infinitesimal braidings on categories of bi(co)modules and tetramodules, and their compatibility with duoidal structures. For an arbitrary coalgebra, we clas…
Associativity of the -product of skew braces
Andrea Sciandra
For braces, associativity of the -product is equivalent to two-sidedness. We extend this result to skew braces by proving that any two of the following conditions imply the…
is not algebraically coherent
Andrea Sciandra, Vito Volpe
We prove that the category is not algebraically coherent. As a consequence, it is not locally algebraically cartesian closed. Then the same can be deduced for cocomm…
An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence
Andrea Rivezzi, Andrea Sciandra, Thomas Weber
We describe infinitesimal deformations of post-Lie algebras and post-Hopf algebras and prove that the adjunction given by the universal enveloping algebra and primitive elements fu…
Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
Alessandro Ardizzoni, Lucrezia Bottegoni, Alan Cigoli +1
In this work, we extend the protomodularity of the category of cocommutative Hopf algebras to the quasitriangular setting. Every quasitriangular Hopf algebra admits a minimal quasi…
Central series of cocommutative Hopf braces
Maria Bevilacqua, Marino Gran, Andrea Sciandra
By extending some classical results known for groups and skew braces, we define and investigate central series of cocommutative Hopf braces. Both left and right central series are…
On the semi-abelianness of cocommutative Hopf monoids
Andrea Sciandra, Zhenbang Zuo
By providing a suitable generalization of Newman's bijective correspondence known for cocommutative Hopf algebras, we prove that the category of cocommutative Hopf monoids in any a…
Hopf formulae for cocommutative Hopf algebras
Marino Gran, Andrea Sciandra
The adjunction between coalgebras and Hopf algebras, first described by Takeuchi, allows one to prove that the semi-abelian category of cocommutative Hopf algebras has enough $\mat…
Infinitesimal braidings and pre-Cartier bialgebras
A. Ardizzoni, L. Bottegoni, A. Sciandra +1
We propose an infinitesimal counterpart to the notion of braided category. The corresponding infinitesimal braidings are natural transformations which are compatible with an underl…