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