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.
|Faculty Name||OYA, Hironori|
Mathematical Society of Japan
|Keyword||Mathematical science, Algebra, Geometry|
For SocietyStudents will acquire mathematical skills that convert specific examples and sensory explanations into general and rigorous statements. Through the seminars, students gain logical thinking skills.
- Representation theory of Lie groups and Lie algebras
- Representation theory of quantum groups
- Crystal bases, canonical bases
- Cluster algebras