03006nam 2200637 450 99646647710331620220908121044.03-540-46764-510.1007/BFb0087235(CKB)1000000000437106(SSID)ssj0000322578(PQKBManifestationID)12091383(PQKBTitleCode)TC0000322578(PQKBWorkID)10289029(PQKB)10952906(DE-He213)978-3-540-46764-9(MiAaPQ)EBC5594774(Au-PeEL)EBL5594774(OCoLC)1076256452(MiAaPQ)EBC6842214(Au-PeEL)EBL6842214(OCoLC)1292358635(PPN)155215787(EXLCZ)99100000000043710620220908d1992 uy 0engurnn|008mamaatxtccrDifferential algebraic groups of finite dimension /Alexandru Buium1st ed. 1992.Berlin, Germany ;New York, New York :Springer-Verlag,[1992]©19921 online resource (XVII, 147 p.) Lecture Notes in Mathematics,0075-8434 ;1506Bibliographic Level Mode of Issuance: Monograph3-540-55181-6 Terminology and conventions -- First properties -- Affine D-group schemes -- Commutative algebraic D-groups -- General algebraic D-groups -- Applications to differential algebraic groups.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.Lecture Notes in Mathematics,0075-8434 ;1506MathematicsGeometry, AlgebraicDifferential algebraic groupsMathematics.Geometry, Algebraic.Differential algebraic groups.512.56Buium Alexandru1955-56691MiAaPQMiAaPQMiAaPQBOOK996466477103316Differential algebraic groups of finite dimension78670UNISA