1 citations · 1 across the 9 of their papers we have counts for
9 papers
Continuous random variables
Teo Banica
This is an introduction to probability, written with a quantum idea in mind, namely that the semicircle law comes first. We first discuss discrete probability, notably with the bin…
Invitation to finite groups
Teo Banica
This is an introduction to the finite groups, with focus on the groups of permutations and reflections, and more generally, on the finite groups of unitary matrices. We first discu…
Basic quantum algebra
Teo Banica
This is an introduction to quantum algebra, from a geometric perspective. The classical spaces , such as the Lie groups, homogeneous spaces, or more general manifolds, are descr…
Measure and integration
Teo Banica
This is an introduction to measure theory, integration and function spaces, with all the needed preliminaries included, and with some applications included as well. We first discus…
Advanced linear algebra
Teo Banica
This is an introduction to advanced linear algebra, with emphasis on geometric aspects, and with some applications included too. We first review basic linear algebra, notably with…
Graphs and their symmetries
Teo Banica
This is an introduction to graph theory, from a geometric and analytic viewpoint. A finite graph is described by its adjacency matrix , which can be thought of a…
Calculus and applications
Teo Banica
This is an introduction to calculus, and its applications to basic questions from physics. We first discuss the theory of functions , with the notion of co…
Easy quantum groups
Teo Banica
A closed subgroup is called easy when its associated Tannakian category appears from a category of partitions, $C=span(D…
Compact Kac algebras and commuting squares
Teodor Banica
We consider commuting squares of finite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spi…