An Invitation to Noncommutative Algebra

Explore noncommutative algebra through this engaging 53-minute lecture delivered by Chelsea Walton from Rice University at the 2021 Joint Mathematics Meetings. Delve into key concepts such as reflection, rotations, representation theory, and the uncertainty principle. Examine the First Vial Algebra, representations and modules, and both finite and infinite dimensional solutions. Investigate the First Vowel Algebra, noncommutative algebras, and formal deformation. Gain insights into symmetry, category theory, and their applications in this field. Benefit from a comprehensive introduction to noncommutative algebra, suitable for mathematicians and students seeking to expand their understanding of this fascinating area of study.