02345nam a22003858a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002200195082001400217100003000231245005200261260005200313264005200365300005900417336002600476337002600502338003600528490006300564500007300627520100500700650001501705650002801720650002701748650002401775776003501799786001401834830006401848856004701912CR9780511615436UkCbUP20160624102302.0m|||||o||d||||||||cr||||||||||||090914s2003||||enk s ||1 0|eng|d a9780511615436 (ebook) z9780521525480 (paperback) aUkCbUPcUkCbUPerda00aQA201 b.D65 200200a512.52211 aDolgachev, Igor,eauthor.10aLectures on Invariant Theory /cIgor Dolgachev. 1aCambridge :bCambridge University Press,c2003. 1aCambridge :bCambridge University Press,c2003. a1 online resource (238 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 296 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aThe primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces. 0aInvariants 0aLinear algebraic groups 0aGeometry, Differential 0aGeometry, Algebraic08iPrint version: z9780521525480 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 296.40uhttp://dx.doi.org/10.1017/CBO9780511615436