In this talk I will review known results and open questions about modular tensor categories related with quantum groups at roots of unity. We will emphasize the structural results and module categories.Non UBCUnreviewedAuthor affiliation: University of OregonFacult
By recent research developments, the notion of tensor category has been rec-ognized as a fundamental...
We give a pedagogical survey of those aspects of the abstract representation theory of quantum group...
We give a pedagogical survey of those aspects of the abstract representation theory of quantum group...
This book gives an exposition of the relations among the following three topics: monoidal tensor cat...
We classify all unitary modular tensor categories (UMTCs) of rank ≤ 4. There are a total of 35 UMTCs...
This book reviews recent results on low-dimensional quantum field theories and their connection with...
We develop the basic representation theory of all quantum groups at all roots of unity (that is, for...
These are lecture notes on the interplay between Tensor Categories, Algebraic Quantum Field Theory, ...
Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natur...
An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous a...
In my talk i'll explain how to find vector-valued modular forms whose multiplier is the modular data...
These are the, somewhat polished and updated, lecture notes for a three hour course on tensor catego...
Abstract: Topological quantum field theories are invariants of manifolds which can be computed via c...
The most standard mathematical reformulations of conformal field theory are vertex operator algebras...
Let G Be a simply connected compact Lie group and g be its complexified Lie algebra. Building on the...
By recent research developments, the notion of tensor category has been rec-ognized as a fundamental...
We give a pedagogical survey of those aspects of the abstract representation theory of quantum group...
We give a pedagogical survey of those aspects of the abstract representation theory of quantum group...
This book gives an exposition of the relations among the following three topics: monoidal tensor cat...
We classify all unitary modular tensor categories (UMTCs) of rank ≤ 4. There are a total of 35 UMTCs...
This book reviews recent results on low-dimensional quantum field theories and their connection with...
We develop the basic representation theory of all quantum groups at all roots of unity (that is, for...
These are lecture notes on the interplay between Tensor Categories, Algebraic Quantum Field Theory, ...
Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natur...
An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous a...
In my talk i'll explain how to find vector-valued modular forms whose multiplier is the modular data...
These are the, somewhat polished and updated, lecture notes for a three hour course on tensor catego...
Abstract: Topological quantum field theories are invariants of manifolds which can be computed via c...
The most standard mathematical reformulations of conformal field theory are vertex operator algebras...
Let G Be a simply connected compact Lie group and g be its complexified Lie algebra. Building on the...
By recent research developments, the notion of tensor category has been rec-ognized as a fundamental...
We give a pedagogical survey of those aspects of the abstract representation theory of quantum group...
We give a pedagogical survey of those aspects of the abstract representation theory of quantum group...