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Introduction to Soergel Bimodules (1st ed. 2020)

By: Elias, Ben Makisumi, Shotaro Thiel, Ulrich Williamson, Geordie

Part of the RSME SPRINGER SERIES series
303048825X / 9783030488253
Hardback
10/10/2020
Published 10/10/2020
Switzerland
155 x 235 mm 590 pages, 181 Illustrations, color; 290 Illustrations, black and white; XXV, 590 p. 471 illus., 181
Professional & Vocational  Learn More

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.

BIC:

PBC Mathematical foundations, PBF Algebra, PBG Groups & group theory, PBM Geometry, PBMW Algebraic geometry

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