An introduction to Kac-Moody groups over fields /

An introduction to Kac-Moody groups over fields /

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Bibliographic Details
Author / Creator:	Marquis, Timothée, author.
Imprint:	Zürich, Switzerland : European Mathematical Society Publishing House, [2018] ©2018
Description:	1 online resource
Language:	English
Series:	EMS textbooks in mathematics EMS textbooks in mathematics.
Subject:	Kac-Moody algebras -- Textbooks. Lie groups -- Textbooks. Linear algebraic groups -- Textbooks. Buildings (Group theory) -- Textbooks. Buildings (Group theory) Kac-Moody algebras. Lie groups. Linear algebraic groups. Electronic books. Textbooks. Textbooks.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12026731

Hidden Bibliographic Details
ISBN:	9783037196878 3037196874 9783037191873 3037191872
Notes:	Includes bibliographical references and indexes. Online resource; title from PDF title page (EBSCO, viewed September 11, 2018)
Summary:	"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 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"--Page 4 of cover.
Other form:	Print version: Marquis, Timothée. Introduction to Kac-Moody groups over fields. Zürich, Switzerland : European Mathematical Society, [2018] 9783037191873

Table of Contents:

I. A few words on the classical Lie theory: 1. From Lie groups to Lie algebras
2. Finite-dimensional (real or complex) Lie algebras
II. Kac-Moody algebras: 3. Basic definitions
4. The Weyl group of a Kac-Moody algebra
5. Kac-Moody algebras of finite and affine type
6. Real and imaginary roots
III. Kac-Moody groups: 7. Minimal Kac-Moody groups
8. Maximal Kac-Moody groups
9. Loose ends
A. Group schemes
B. Buildings and BN-pairs.