000 02875nam a22004815i 4500
001 978-3-540-46764-9
003 DE-He213
005 20190213151621.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540467649
_9978-3-540-46764-9
024 7 _a10.1007/BFb0087235
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aBuium, Alexandru.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDifferential Algebraic Groups of Finite Dimension
_h[electronic resource] /
_cby Alexandru Buium.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1992.
300 _aXVII, 147 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1506
505 0 _aTerminology and conventions -- First properties -- Affine D-group schemes -- Commutative algebraic D-groups -- General algebraic D-groups -- Applications to differential algebraic groups.
520 _aDifferential 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.
650 0 _aGeometry, algebraic.
650 0 _aGroup theory.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662163306
776 0 8 _iPrinted edition:
_z9783540551812
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1506
856 4 0 _uhttps://doi.org/10.1007/BFb0087235
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11292
_d11292