Introduction to Quantized Enveloping Algebras - Leonardo Maltoni

Dive into the world of quantum algebra with this comprehensive lecture on quantized enveloping algebras. Explore key concepts such as Gaussian binomial coefficients, classical presentations, and Q-deformations. Learn about the algebra and Hopf algebra structures, and engage with exercises to reinforce understanding. Delivered by Leonardo Maltoni from Sorbonne University as part of the Quantum Groups Seminar at the Institute for Advanced Study, this in-depth talk provides a solid foundation for those interested in advanced mathematical concepts in quantum theory.

Introduction
Quantized enveloping algebra
Gaussian binomial coefficient
Definition of U
Relation Relations
Classical Presentation
Motivation
Q deformation
Modular space
Extension of ksquare
Remarks
Algebra structure
Hopf algebra structure
Proof of the lemma
Exercise