000 | 02387nam a22003257a 4500 | ||
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003 | OSt | ||
005 | 20240409192137.0 | ||
008 | 240409b |||||||| |||| 00| 0 hin d | ||
020 | _a9783037191873 | ||
040 |
_aNISER LIBRARY _cNISER LIBRARY |
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041 | _aEnglish | ||
082 | 0 | 0 |
_a512.54 _bMAR-K |
100 | 1 | _aMarquis, Timothée | |
245 | 1 | 3 | _aIntroduction to kac-moody groups over fields |
246 | 3 | 0 | _aKac-Moody groups over fields |
260 |
_aZurich, Switzerland : _bEuropean Mathematical Society, _c2018. |
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300 |
_axi, 331p. : _billustrations ; _c24 cm. |
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490 | 1 | _aEMS textbooks in mathematics | |
504 | _aIncludes bibliographical references (pages 315-320) and indexes. | ||
520 | _aThe interest in Kac Moody algebras and groups has grown exponentially in the past decades, both in the mathematical and physics communities, and with it the need for an introductory textbook on the topic. The aim of this book is (1) to offer an accessible, reader-friendly, and self-contained introduction to Kac Moody algebras and groups; and (2) to clean the foundations and 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 that offer introductions to affine group schemes and to the theory of buildings. Many exercises are included. 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. | ||
650 | 0 | _aKac-Moody algebras. | |
650 | 0 | _aLie groups. | |
650 | 0 | _aLinear algebraic groups. | |
650 | 0 | _aBuildings (Group theory) | |
710 | 2 | _aEuropean Mathematical Society. | |
830 | 0 | _aEMS textbooks in mathematics. | |
856 | 4 | 1 |
_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/emstext-22-toc.pdf?_gl=1*9ktkhf*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxMjY2OTgyMC4zLjEuMTcxMjY2OTgzNy4wLjAuMA.. |
856 | 4 | 1 |
_3Reviews _uhttps://www.goodreads.com/book/show/75551344-an-introduction-to-kac-moody-groups-over-fields?ref=nav_sb_ss_1_13#CommunityReviews |
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