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Titlebook: Introduction to Soergel Bimodules; Ben Elias,Shotaro Makisumi,Geordie Williamson Book 2020 The Editor(s) (if applicable) and The Author(s)

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发表于 2025-3-21 18:24:54 | 显示全部楼层 |阅读模式
书目名称Introduction to Soergel Bimodules
编辑Ben Elias,Shotaro Makisumi,Geordie Williamson
视频video
概述Unique comprehensive resource available on Soergel bimodules in book form.First account in book form of diagrammatics for Soergel bimodules, with hundreds of figures.Contains hundreds of exercises and
丛书名称RSME Springer Series
图书封面Titlebook: Introduction to Soergel Bimodules;  Ben Elias,Shotaro Makisumi,Geordie Williamson Book 2020 The Editor(s) (if applicable) and The Author(s)
描述.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..
出版日期Book 2020
关键词Soergel bimodules; Representation theory; Kazhdan-Lusztig conjecture; Kazhdan-Lusztig polynomials; Highe
版次1
doihttps://doi.org/10.1007/978-3-030-48826-0
isbn_softcover978-3-030-48828-4
isbn_ebook978-3-030-48826-0Series ISSN 2509-8888 Series E-ISSN 2509-8896
issn_series 2509-8888
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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978-3-030-48828-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Introduction to Soergel Bimodules978-3-030-48826-0Series ISSN 2509-8888 Series E-ISSN 2509-8896
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Sheaves on Moment GraphsWe give a brief introduction to the theory of sheaves on moment graphs. This theory is due to Braden–MacPherson and Fiebig. It provides a very useful “local” perspective on Soergel bimodules. Our aim is a brief introduction, as well as the discussion of a few interesting examples.
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The Hecke Algebra and Kazhdan–Lusztig Polynomialsrtant bases: the standard basis, and a certain “self-dual” basis called the Kazhdan–Lusztig basis, with the change of basis between the two given by the Kazhdan–Lusztig polynomials. In this chapter, we briefly review the definition and construction of the Hecke algebra and its Kazhdan–Lusztig basis.
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