Hongdi Huang, Department of Pure Mathematics, University of Waterloo
"Quantum Groups and Hopf Algebras"
In mathematics, the term quantum group denotes various kinds of noncommutative algebras with additional structure. In general, a quantum group is some kind of Hopf algebras. There is no single, all-encompassing definition, but instead a family of broadly similar objects. In the first half seminar, we may focus on the Lie Algebra of $SL(2)$, the quantum Enveloping Algebra of $SL(2)$ and Hopf Algebra Structures on $U_q(SL(2))$. In this talk, we will learn the quantum plane and algebra $M_q(2)$.