Group Theory Laboratory
Analyzing symmetry hidden in the natural world
Symmetry is hidden everywhere in the natural world. In mathematics, the concept of symmetry is described by algebraic structures, called “groups.” As the application of the group theory spreads, various algebraic structures are thought of, such as those expanding on the quantum group and tensor category. Our laboratory tries to understand symmetry hidden behind various theories through our research on these groups and their associates.
|Faculty Name||SHIMIZU, Kenichi|
|Academic Society||The Mathematical Society of Japan|
|Keyword||Mathematical science, Algebra, Geometry|
- Information science
For SocietyThe concept of groups was found during research on algebraic equations conducted by Évariste Galois. With the development of computational science in recent years, the concept is applied to cryptology, coding theory and random number generation.
- Applications to the cryptology of the group theory, coding theory and puzzles
- Research on hop counts, quantum group and the knot theory
- Research on the quantum field theory in the tensor category and applications to the conformal field theory