Overview
This course provides an introduction to noncommutative algebra, covering topics such as reflection, rotations, representation theory, uncertainty principle, and category theory. By the end of the course, learners will be able to understand noncommutative algebras, analyze formal deformations, and explore various examples in the field. The teaching method involves lectures and theoretical discussions. This course is intended for individuals interested in advancing their knowledge of algebra, particularly in the noncommutative context.
Syllabus
Introduction
Reflection and Rotations
Themes
Representation Theory
Uncertainty Principle
First Vial Algebra
Representations and Modules
Finite Dimensional Solutions
Infinite Dimensional Solutions
The First Vowel Algebra
Noncommutative Algebras
Examples
Formal Deformation
References
Symmetry
Symmetries
Category Theory
Conclusion
Taught by
Joint Mathematics Meetings