Representation theory investigates the different ways in which a given algebraic object--such as a group or a Lie algebra--can act on a vector space. Besides be

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from

Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, thr

``We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, t

This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the fiel