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MARC 21

Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory
Tag Description
020$a9783662030738
082$a516.35
099$aOnline resource: Springer
245$aAlgebraic Geometry IV$h[EBook]$bLinear Algebraic Groups Invariant Theory$cedited by A. N. Parshin, I. R. Shafarevich.
260$aBerlin, Heidelberg$bSpringer$c1994.
300$aX, 286 pages$bonline resource.
336$atext
338$aonline resource
440$aEncyclopaedia of Mathematical Sciences,$x0938-0396 ;$v55
505$aI. Linear Algebraic Groups -- II. Invariant Theory -- Author Index.
520$aThe problems being solved by invariant theory are far-reaching generalizations and extensions of problems on the "reduction to canonical form" of various is almost the same thing, projective geometry. objects of linear algebra or, what Invariant theory has a ISO-year history, which has seen alternating periods of growth and stagnation, and changes in the formulation of problems, methods of solution, and fields of application. In the last two decades invariant theory has experienced a period of growth, stimulated by a previous development of the theory of algebraic groups and commutative algebra. It is now viewed as a branch of the theory of algebraic transformation groups (and under a broader interpretation can be identified with this theory). We will freely use the theory of algebraic groups, an exposition of which can be found, for example, in the first article of the present volume. We will also assume the reader is familiar with the basic concepts and simplest theorems of commutative algebra and algebraic geometry; when deeper results are needed, we will cite them in the text or provide suitable references.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aParshin, A. N.$eeditor.
700$aShafarevich, Igor R.(Igor Rostislavovich)$d1923-2017.
700$aŠafarevič, Igor Rostislavovič$eeditor
700$d1923-2017.
700$eeditor.
710$aSpringerLink (Online service)
830$aEncyclopaedia of Mathematical Sciences,$v55
856$uhttp://dx.doi.org/10.1007/978-3-662-03073-8
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