3 papers
math.QA2026
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…
math.RT2026
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…
math.RA2025
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…