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Differential Algebraic Groups of Finite Dimension

Differential Algebraic Groups of Finite Dimension (Paperback)

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Differential algebraic groups were introduced by P. Cassidy

and E. Kolchin and are, roughly speaking, groups defined by

algebraic differential equations in the same way as

algebraic groups are groups defined by algebraic equations.

The aim of the book is two-fold: 1) the provide an algebraic

geometer's introduction to differential algebraic groups and

2) to provide a structure and classification theory for the

finite dimensional ones. The main idea of the approach is to

relate this topic to the study of: a) deformations of (not

necessarily linear) algebraic groups and b) deformations of

their automorphisms. The reader is assumed to possesssome

standard knowledge of algebraic geometry but no familiarity

with Kolchin's work is necessary. The book is both a

research monograph and an introduction to a new topic and

thus will be of interest to a wide audience ranging from

researchers to graduate students.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsMathematicsGeometryAlgebraic geometryScience & MathematicsMathematicsGroups & group theory Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 26/02/1992 ISBN-13: 9783540551812  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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