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.

College of Systems Engineering and Science Department of Mathematical Sciences / Graduate School of Engineering and Science（Master's Program） Systems Engineering and Science / Graduate School of Engineering and Science（Doctor's Program） Functional Control Systems Course

Faculty Name

SHIMIZU, Kenichi

Keyword

Mathematical science,Algebra,Geometry

Laboratory location

No.5 Building OMIYA Campus 3F 5382-1

This lab is for this SDG activity:

STUDY FIELDS

Mathematics
Information science

FOR SOCIETY

The concept of groups was found during research on algebraic equations conducted by Evariste Galois. With the development of computational science in recent years, the concept is applied to cryptology, coding theory and random number generation.

RESEARCH THEMES

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