Differential algebraic groups of finite dimension / Alexandru Buium.

By:

Buium, Alexandru, 1955-

Material type: Text

TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1506.Publication details: Berlin ; New York : Springer-Verlag, ©1992.Description: 1 online resource (xiv, 145 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540467649
3540467645

Subject(s):

Additional physical formats: Print version:: Differential algebraic groups of finite dimension.DDC classification:

510 512/.56 20

LOC classification:

QA3 .L28 no. 1506 QA247.4

Other classification:

31.24
31.21
*14L15
12H05
13N05
14-02

Online resources:

Click here to access online

Contents:

Terminology and conventions -- First properties -- Affine D-group schemes -- Commutative algebraic D-groups -- General algebraic D-groups -- Applications to differential algebraic groups.

Action note:

digitized 2010 HathiTrust Digital Library committed to preserve

Summary: 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.

Holdings ( 1 )
Title notes ( 9 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

Includes bibliographical references (pages 141-143) and indexes.

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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Print version record.

Terminology and conventions -- First properties -- Affine D-group schemes -- Commutative algebraic D-groups -- General algebraic D-groups -- Applications to differential algebraic groups.