Screen LibraryAn introduction to Kac-Moody groups over fields /
"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....
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
European Mathematical Society,
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| Publisher Address: | Zurich, Switzerland : |
| Publication Dates: | [2018] |
| Literature type: | Book |
| Language: | English |
| Series: |
EMS textbooks in mathematics
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| Subjects: | |
| 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. |
| Carrier Form: | xi, 331 pages : illustrations ; 24 cm. |
| Bibliography: | Includes bibliographical references (pages [315]-320) and indexes. |
| ISBN: |
9783037191873 3037191872 |
| Index Number: | QA252 |
| CLC: | O152 |
| Call Number: | O152/M357 |
| Contents: |
A few words on the classical Lie theory: From Lie groups to Lie algebras -- Finite-dimensional (real or complex) Lie algebras -- Kac-Moody algebras: Basic definitions -- The Weyl group of a Kac-Moody algebra -- Kac-Moody algebras of finite and affine type -- Real and imaginary roots -- Kac-Moody groups: Minimal Kac-Moody groups -- Maximal Kac-Moody groups -- Loose ends -- Group schemes -- Buildings and BN-pairs. |