Shrawan Kumar

eBook, PDF

Kac-Moody Groups, their Flag Varieties and Representation Theory (eBook, PDF)

Beschreibung

This is the first monograph to exclusively treat Kac-Moody (K-M) groups, a standard tool in math and math physics, with connections to number theory, combinatorics, topology, singularities, quantum groups, and completely integrable systems. A self-contained text, systematically presented from the Lie algebra to the broader K-M Lie group setting. No prior knowledge of K-M Lie algebras is required. Exposition features numerous examples, illustrations, challenging problems, exercises, and is suitable for grad courses. Also of interest to researchers at the crossroads of representation theory, geometry, and topology.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 73.01MB

Barrierefreiheit

• Text-to-Speech

Autor

Kumar, S., University of North Carolina, Chapel Hill, USA

Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 609
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461201052
• Artikelnr.: 44209600

Rezensionen

"Most of these topics appear here for the first time in book form. Many of them are interesting even in the classical case of semi-simple algebraic groups. Some appendices recall useful results from other areas, so the work may be considered self-contained, although some familiarity with semi-simple Lie algebras or algebraic groups is helpful. It is clear that this book is a valuable reference for all those interested in flag varieties and representation theory in the semi-simple or Kac-Moody case." -MATHEMATICAL REVIEWS "A lot of different topics are treated in this monumental work. . . . many of the topics of the book will be useful for those only interested in the finite-dimensional case. The book is self contained, but is on the level of advanced graduate students. . . . For the motivated reader who is willing to spend considerable time on the material, the book can be a gold mine. " -ZENTRALBLATT MATH