Introduction to soergel bimodules
Elias, Ben.
Introduction to soergel bimodules - Switzerland : Springer, 2020. - xxv, 588p. - RSME Springer Series ; 5 2509-8888 .
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.
9783030488253
Algebra
Group theory
Categories (Mathematics)
Algebra, Homological
Topological groups
Lie groups
Geometry
Geometry, Algebraic
Soergel bimodules
Representation theory
Kazhdan-Lusztig conjecture
Kazhdan-Lusztig polynomials
Higher representation theory
512 / ELI-I
Introduction to soergel bimodules - Switzerland : Springer, 2020. - xxv, 588p. - RSME Springer Series ; 5 2509-8888 .
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.
9783030488253
Algebra
Group theory
Categories (Mathematics)
Algebra, Homological
Topological groups
Lie groups
Geometry
Geometry, Algebraic
Soergel bimodules
Representation theory
Kazhdan-Lusztig conjecture
Kazhdan-Lusztig polynomials
Higher representation theory
512 / ELI-I
