Representation theory is a fast growing subject in mathematics providing a way of studying algebraic structures of various groups and algebras. Especially, late in the 20th century, representations of Lie algebras and Lie groups have revealed many beautiful connections with other areas of mathematics such as number theory, combinatorics, algebraic geometry as well as mathematical physics, and now form an important field of mathematics.
Representation theory is a fast growing subject in mathematics providing a way of studying algebraic structures of various groups and algebras. Especially, late in the 20th century, representations of Lie algebras and Lie groups have revealed many beautiful connections with other areas of mathematics such as number theory, combinatorics, algebraic geometry as well as mathematical physics, and now form an important field of mathematics.