Algebraic Representation Theory Laboratory
Understanding things from the perspective of symmetry
Symmetry provides a powerful clue when examining shapes and spaces. For example, if we find that a given shape in a plane is invariant by rotation, then we can conclude that it is circular. It means that symmetry determines the shape of things to some extent. Historically, this perspective has produced surprising identities and solutions of various equations. The goal of our laboratory is to study structures determined by symmetry and to use them to solve specific problems.
| Affiliation | Mathematical Sciences |
| Faculty Name | OYA, Hironori |
| Academic Society |
Mathematical Society of Japan
|
| Keyword | Mathematical science, Algebra, Geometry |
Study Fields
- Mathematics
For Society
Students will acquire mathematical skills that convert specific examples and sensory explanations into general and rigorous statements. Through the seminars, students gain logical thinking skills.Research Themes
- Representation theory of Lie groups and Lie algebras
- Representation theory of quantum groups
- Crystal bases, canonical bases
- Cluster algebras