Representation Theory And Geometry Of The Flag Variety Av William M. Mcgovern

The primary goal of these lectures is to introduce a beginner to the finite¿ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs,...

<i>An Invitation to Representation Theory </i>offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway...

Expanding on lectures given at the LMS Autumn Algebra School 2020, this text gives a guided tour of modern developments in algebra and representation theory. It includes many worked examples and applications, providing graduate students and researchers...

Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book gives a comprehensive account of constructible and perverse sheaves on complex algebraic varieties,...