ENGLISH

Differential Algebraic Groups of Finite Dimension

By Alexandru Buium (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
0387551816, 9780387551814
DOI
10.1007/BFb0087235
LCC
QA3 .L28 no. 1506,QA247.4 .L28 no. 1506
Open Library ID
OL1564161M
Language
english
Format
DJVU
Filesize
1 MB (1567366 bytes)
Series
Lecture Notes in Mathematics 1506
Edition
1
Pages
147\159
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2011-07-22 07:35:22
Algebraic Geometry; Group Theory and Generalizatio

Description

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.

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