F. Renda

collaborators

4 papers

math.QA2026

On Separable and Frobenius Cowreaths of type $(A \otimes H^{op}, H, I ¨ )$

Fabio Renda

Cowreaths of type $(A \otimes H^{op}, H, I ¨ )$ have been investigated in [10,19-21,27] as examples of (h-)separable and Frobenius coalgebras in monoidal categories. They are…

math.QA2025

Infinitesimal $R$ -matrices for some families of Hopf algebras

Lucrezia Bottegoni, Fabio Renda, Andrea Sciandra

Given a bialgebra $H$ such that the associated trivial topological bialgebra $H [[ℏ]]$ admits a quasitriangular structure $\tilde{\mathcal{R}}=\mathcal{R}(1\otimes 1+\hbarÏ+\ma…

math.QA2025

Separable cowreaths in higher dimension

Fabio Renda

In this paper we present an infinite family of (h-)separable cowreaths with increasing dimension. Menini and Torrecillas proved in [20] that for $A = C l (I^\pm, I^^{2}, I^^{3})$ , a four-dimension…

math.QA2025

E(n)-coactions on semisimple Clifford algebras

Fabio Renda

In this article we prove that $E (n)$ -coactions over a finite-dimensional algebra $A$ are classified by tuples $(I ¨ , d_{1}, ..., d_{n})$ consisting of an involution $I ¨ $ and a family $…

On Separable and Frobenius Cowreaths of type (A⊗Hop,H,I¨)

Infinitesimal R-matrices for some families of Hopf algebras

Separable cowreaths in higher dimension

E(n)-coactions on semisimple Clifford algebras

On Separable and Frobenius Cowreaths of type $(A \otimes H^{op}, H, I ¨ )$

Infinitesimal $R$ -matrices for some families of Hopf algebras