9 papers
Point modules of Nichols algebras over non-abelian groups
B. Greenfeld, L. Vendramin, S. Venkatesh
Nichols algebras are among the most important and mysterious objects in quantum algebra. We continue the systematic program of studying them through their point modules. We study t…
Galois' Professor's Revenge
M. Damele, A. Loi, M. Mereb +1
We prove that the groups associated with the Revenge Cube and the Professor's Cube can be realized as Galois groups over the rationals.
Rubik's as a Galois'
M. Mereb, L. Vendramin
We prove that the Rubik's cube group can be realized as a Galois group over the rationals.
Hopf formulae for homology of skew braces
M. Gran, T. Letourmy, L. Vendramin
The variety of skew braces contains several interesting subcategories as subvarieties, as for instance the varieties of radical rings, of groups and of abelian groups. In this arti…
Computing finite Weyl groupoids
Iván Angiono, Iván Angiono, Leandro Vendramin
We present algorithms to compute generalized root systems of Nichols algebras of diagonal type and of contragredient Lie superalgebras. As a consequence, we obtain an algorithm to…
The prime spectrum of an -algebra
W. Rump, L. Vendramin
We prove that the lattice of ideals of an arbitrary -algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. t…