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An Introduction to Kac-Moody Groups ...
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Marquis, Timothée,
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An Introduction to Kac-Moody Groups over Fields
Record Type:
Electronic resources : Monograph/item
Title/Author:
An Introduction to Kac-Moody Groups over Fields/ Timothée Marquis
Author:
Marquis, Timothée,
Published:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2018,
Description:
1 online resource (343 pages)
Subject:
Groups & group theory -
Online resource:
https://doi.org/10.4171/187
Online resource:
https://www.ems-ph.org/img/books/marquis_mini.jpg
ISBN:
9783037196878
An Introduction to Kac-Moody Groups over Fields
Marquis, Timothée,
An Introduction to Kac-Moody Groups over Fields
[electronic resource] /Timothée Marquis - Zuerich, Switzerland :European Mathematical Society Publishing House,2018 - 1 online resource (343 pages) - EMS Textbooks in Mathematics (ETB).
Restricted to subscribers:https://www.ems-ph.org/ebooks.php
The interest for Kac-Moody algebras and groups has grown exponentially in the past decades, both in the mathematical and physics communities, and with it also the need for an introductory textbook on the topic. The aims of this book are twofold: - to offer an accessible, reader-friendly and self-contained introduction to Kac-Moody algebras and groups; - to clean the foundations and to provide a unified treatment of the theory. The book starts with an outline of the classical Lie theory, used to set the scene. Part II provides a self-contained introduction to Kac-Moody algebras. The heart of the book is Part III, which develops an intuitive approach to the construction and fundamental properties of Kac-Moody groups. It is complemented by two appendices, respectively offering introductions to affine group schemes and to the theory of buildings. Many exercises are included, accompanying the readers throughout their journey. The book assumes only a minimal background in linear algebra and basic topology, and is addressed to anyone interested in learning about Kac-Moody algebras and/or groups, from graduate (master) students to specialists.
ISBN: 9783037196878
Standard No.: 10.4171/187doiSubjects--Topical Terms:
3480852
Groups & group theory
An Introduction to Kac-Moody Groups over Fields
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The interest for Kac-Moody algebras and groups has grown exponentially in the past decades, both in the mathematical and physics communities, and with it also the need for an introductory textbook on the topic. The aims of this book are twofold: - to offer an accessible, reader-friendly and self-contained introduction to Kac-Moody algebras and groups; - to clean the foundations and to provide a unified treatment of the theory. The book starts with an outline of the classical Lie theory, used to set the scene. Part II provides a self-contained introduction to Kac-Moody algebras. The heart of the book is Part III, which develops an intuitive approach to the construction and fundamental properties of Kac-Moody groups. It is complemented by two appendices, respectively offering introductions to affine group schemes and to the theory of buildings. Many exercises are included, accompanying the readers throughout their journey. The book assumes only a minimal background in linear algebra and basic topology, and is addressed to anyone interested in learning about Kac-Moody algebras and/or groups, from graduate (master) students to specialists.
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