000			02474 a2200289 4500
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005			20251204102807.0
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020			_a9780521525480 _qPaperback
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a512.64 _bDOL-L
100			_aDolgachev, Igor
245			_aLectures on invariant theory
260			_aNew York : _bCambridge University Press, _c2003.
300			_axvi, 220 pages : _billustrations ; _c23 cm.
490			_aLondon mathematical society lecture note series ; _v296.
504			_aIncludes bibliographical references (p. 205-213) and index.
520			_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. Accessible style with many examples and exercises. Based on the author's teaching at Michigan and Harvard.
650			_aInvariants
650			_aLinear algebraic groups
650			_aGeometry, Differential
650			_aGeometry, Algebraic
856			_3Electronic version _uhttps://www.nzdr.ru/data/media/biblio/edu/math/high/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F%20%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F/Dolgachev%20I.,%20Lectures%20on%20Invariant%20Theory.pdf
856			_3Table of contents _uhttps://www.cambridge.org/in/universitypress/subjects/mathematics/algebra/lectures-invariant-theory?format=PB#contents
856			_3Reviews _uhttps://www.goodreads.com/book/show/11265925-lectures-on-invariant-theory#CommunityReviews
942			_cBK _2udc
999			_c36226 _d36226