9 citations · 9 across the 3 of their papers we have counts for
5 papers · 1 filter
Quantization of non-unitary geometric classical r-matrices
P. Etingof, M. Graña
In this paper we explicitly attach to a geometric classical r-matrix (not necessarily unitary), a geometric (i.e., set-theoretical) quantum R-matrix , which is a quantizatio…
Indecomposable racks of order p^2
Matias Graña
We classify indecomposable racks of order p^2 (p a prime). There are 2p^2 - 2p - 2 isomorphism classes, among which 2p^2 - 3p - 1 correspond to quandles. In particular, we prove th…
On rack cohomology
Pavel Etingof, Matias Grana
We prove that the lower bounds for Betti numbers of the rack, quandle and degeneracy cohomology given by Carter, Jelsovsky, Kamada, and Saito, are in fact equalities. We compute as…
Pointed Hopf algebras of dimension 32
Matias Graña
We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with characteristic different from 2. It turns out that there are…
On Nichols algebras of low dimension
Matias Grana
This is a contribution to the classification program of pointed Hopf algebras. We give a generalization of the quantum Serre relations and propose a generalization of the Frobenius…