Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4

BIMSA via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fascinating world of tensor categories and their role as a new form of "quantum symmetry" in this comprehensive lecture. Delve into how tensor categories generalize classical group symmetry across various fields of mathematics and physics, including quantum groups, quantum topological invariants, quantum information, vertex operator algebras, conformal field theory, and topological order in condensed matter physics. Discover the power of Jones theory of subfactors in operator algebras as a method to study these symmetries. Learn about bi-unitary connections and their application in describing tensor categories using finite dimensional unitary matrices, with a particular focus on their relevance to tensor networks in 2-dimensional topological order. Gain insights into this complex theory without requiring prior knowledge of operator algebras.

Syllabus

[4] Yasuyuki Kawahigashi: Operator algebras, bi-unitary connections and tensor networks

Taught by

BIMSA

Reviews

Start your review of Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.