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.
Affiliation Mathematical Sciences
Faculty Name SHIMIZU, Kenichi
Academic Society The Mathematical Society of Japan
Keyword Mathematical science, Algebra, Geometry

Study Fields

For Society

The 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.

Research Themes