Lecture Notes in Mathematics

Differential Algebraic Groups of Finite Dimension

Authors: Buium, Alexandru

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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $29.99
price for USA in USD
  • ISBN 978-3-540-46764-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Differential Algebraic Groups of Finite Dimension
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1506
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46764-9
DOI
10.1007/BFb0087235
Softcover ISBN
978-3-540-55181-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVII, 147
Topics