02352nam a22003375a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185100003300200245009800233260008200331300003400413336002600447337002600473338003600499347002400535490003900559506006600598520117500664650003401839650004201873856003201915856006701947232-180719CH-001817-320180719233001.0a fot ||| 0|cr nn mmmmamaa180719e20180615sz fot ||| 0|eng d a978303719687870a10.4171/1872doi ach0018173 7aPBFD2bicssc a20-xx2msc1 aMarquis, Timothée,eauthor.10aAn Introduction to Kac–Moody Groups over Fieldsh[electronic resource] /cTimothée Marquis3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2018 a1 online resource (343 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Textbooks in Mathematics (ETB)1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThe 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.07aGroups & group theory2bicssc07aGroup theory and generalizations2msc40uhttps://doi.org/10.4171/187423cover imageuhttps://www.ems-ph.org/img/books/marquis_mini.jpg