The subject of quantum groups is a fascinating and new area of mathematics.
The term “quantum groups” was first introduced by Vladimir Drinfeld in
the 1980s. There is no formal definition for the term “quantum groups”,
but in general it stands for certain special Hopf algebras.
In some of the literature, a quantum group is defined as a noncommutative and noncocommutative Hopf algebra.
Quantum groups have close connections with many areas of mathematics
and physics.
The aim of the thesis is to study the theory of quantum groups, and
related topics like Hopf algebras.
Chapter 1 introduces the definition of Hopf algebras and its properties.
Chapter 2 focuses on the theory of quantum groups. Chapter 3 includes
examples of quantum groups, with some examples from physics.
The main reference for this project is Quantum Groups by C. Kassel ([2]).
For this thesis, the author refers to Part One of the book, from Chapter I
to VII. Before researching on quantum groups, the author also studied Hopf
algebras, including viewing online lectures by F. Ardila ([3]).
The author sincerely hopes that this thesis can also serve as a summary
and a brief introduction to the vast subject of quantum groups.
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Reblogged this on Math Online Tom Circle and commented:
Excellent grasp of Quantum Group for a final year undergraduate student. Bravo!
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