79 citations · 733 across the 88 of their papers we have counts for
118 papers
Methods of free probability
Teo Banica
This is an introduction to free probability, with all the needed preliminaries included. We first discuss the most basic noncommuting variables, namely the usual matrices, followed…
Principles of operator algebras
Teo Banica
This is an introduction to the algebras that the linear operators can form, once a complex Hilbert space is given. Motivated by quantum mechanics, we…
Linear algebra and group theory
Teo Banica
This is an introduction to linear algebra and group theory. We first review the linear algebra basics, namely the determinant, the diagonalization procedure and more, and with the…
Duals of finite quantum permutation groups
Teo Banica
We work out axioms for the duals of the finite quantum permutation groups, with , and we discuss how the basic theory of such quantum…
The Frucht property in the quantum group setting
Teo Banica, J. P. McCarthy
A classical theorem of Frucht states that any finite group appears as the automorphism group of a finite graph. In the quantum setting the problem is to understand the structure of…
Quantum partial automorphisms of finite graphs
Teo Banica
The partial automorphisms of a graph having vertices are the bijections with which leave invariant the edges. These bijections form a…