© 1992

Differential Algebraic Groups of Finite Dimension

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1506)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Alexandru Buium
    Pages 1-6
  3. Alexandru Buium
    Pages 7-29
  4. Alexandru Buium
    Pages 30-59
  5. Alexandru Buium
    Pages 60-86
  6. Alexandru Buium
    Pages 87-98
  7. Alexandru Buium
    Pages 99-136
  8. Back Matter
    Pages 136-145

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.


Dimension Grad algebraic geometry algebraic group commutative algebra

Bibliographic information

  • Book Title Differential Algebraic Groups of Finite Dimension
  • Authors Alexandru Buium
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-55181-2
  • eBook ISBN 978-3-540-46764-9
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XVII, 147
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
    Group Theory and Generalizations
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking