Unitary Quantum Symmetries Lite
I am in the process of compiling my notes from 3 topics courses at OSU from 2018 (Quantum Algebra), 2021 (Topological Phases of Matter), and 2023 (Higher Linear Algebra) into a book with Giovanni Ferrer and Kyle Kawagoe. The book has 3 parts. Each part discusses objects, their endomorphisms, a weaker version of equivalence, some important examples, and applications.
Files
Here are notes from my 2023 course on Higher Linear Algebra.
\begin{warning} There are known errors in these notes. \end{warning} Here are other helpful links.
Announcements for UQSL
2025/5/15, 16:50 Chapters 3-4 Drafts of Chapters 3-4 posted. Chapter 3 is still very much a work in progress. We may be able to simplify the exposition -- we are in the process of balancing operator algebraic techniques with the (semi)simplicity of the various unitary versions of representation theory. 2025/4/30, 13:02 Up and running Drafts of Chapters 1-2 posted. More updates coming soon (in geological time).
last modified: 2025/5/15 |