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Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)
 

Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183) (Trade Paperback / Paperback)

By Green, Mark
By Griffiths, Phillip
By Kerr, Matthew D.

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Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of ne...w views and results, it will become an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of finite dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge representations, a topic that should become a standard in the finite-dimensional representation theory of noncompact, real, semisimple Lie groups. They also indicate that in the future, a connection seems ready to be made between Lie groups that admit discrete series representations and the study of automorphic cohomology on quotients of Mumford-Tate domains by arithmetic groups. Bringing together complex geometry, representation theory, and arithmetic, this book opens up a fresh perspective on an important subject.
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ISBN 9780691154251
Released NZ 15 Apr 2012
Format Trade Paperback/Paperback
Alternate Format(s) View All (1 other possible title(s) available)
Language English (translated from: English)
Series Annals of Mathematics Studies (part: 206)
Availability
Indent title (internationally sourced), usually ships 4-6 weeks

Full details for this title

ISBN-13 9780691154251
Stock Available
Status Indent title (internationally sourced), usually ships 4-6 weeks
Publisher unlisted
Imprint Princeton University Press
Released 15 Apr 2012
Publication Country United States United States
Format Trade Paperback/Paperback
Language English
Translated from English
Author(s) By Green, Mark
By Griffiths, Phillip
By Kerr, Matthew D.
Series Annals of Mathematics Studies (part: 206)
Category Non-Fiction (Child / Teen)
Algebra: Groups & Group Theory
Mathematics: Real Analysis
Mathematics: Complex Analysis
Algebraic Geometry
Number of Pages 288
Dimensions Width: 178mm
Height: 254mm
Spine: 15mm
Dewey Code 516.35
Weight 510g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Mumford-Tate groups
NBS Text Mathematics
ONIX Text College/higher education;Professional and scholarly

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