5 citations · 6 across the 7 of their papers we have counts for
10 papers
Duality for action bialgebroids
Sophie Chemla, Fabio Gavarini, Niels Kowalzig
We study the effect of linear duality on action bialgebroids (also known as smash product or scalar extension bialgebroids) and, for those bearing a quantisation nature, the effect…
Hopf bimodules for bialgebroids
Sophie Chemla, Niels Kowalzig
Generalising a result for Hopf algebras, we not only define the four possible types of Hopf modules in the bialgebroid setting but also yield the notion of two-sided two-cosided Ho…
Duality properties for induced and coinduced representations in positive characteristic
Sophie Chemla
Let be a field of positive characteristic . We prove a duality property concerning the kernel of coinduced representations of Lie superalgebras. This property was already…
Poincaré Duality for Hopf algebroids
Sophie Chemla
We prove a twisted Poincaré duality for (full) Hopf algebroids with bijective antipode. As an application, we recover the Hochschild twisted Poincaré duality of Van Den Bergh [VDB]…
Integral theory for left Hopf left bialgebroids
Sophie Chemla
We study integral theory for left (or right) Hopf left bialgebroids. Contrary to Hopf algebroids, the latter ones don't necessary have an antipode but, for any element , the…
Differential calculus over double Lie algebroids
Sophie Chemla
The notion of double Lie algebroid was defined by M. Van den Bergh and was illustrated by the double quasi Poisson case. We give new examples of double Lie algebroids and develop a…