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Mumford-Tate Groups and Domains - Their Geometry and Arithmetic (AM-183) (Hardcover) Loot Price: R6,776
Discovery Miles 67 760
Mumford-Tate Groups and Domains - Their Geometry and Arithmetic (AM-183) (Hardcover): Mark Green, Phillip A. Griffiths, Matt...

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

Mark Green, Phillip A. Griffiths, Matt Kerr

Series: Annals of Mathematics Studies

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Loot Price R6,776 Discovery Miles 67 760 | Repayment Terms: R635 pm x 12*

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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 new 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.

General

Imprint: Princeton University Press
Country of origin: United States
Series: Annals of Mathematics Studies
Release date: April 2012
First published: April 2012
Authors: Mark Green • Phillip A. Griffiths • Matt Kerr
Dimensions: 254 x 178 x 20mm (L x W x T)
Format: Hardcover - Trade binding
Pages: 288
ISBN-13: 978-0-691-15424-4
Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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LSN: 0-691-15424-4
Barcode: 9780691154244

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