000			02100nam 2200313| 4500
001			85261
005			20200204142100.0
010			_a978-3-662-55350-3 _dcompra
090			_a85261
100			_a20190128d2017 k||y0pory50 ba
101			_aeng
102			_aDE
200			_aAlgebraic theory of locally nilpotent derivations _bDocumento eletrónico _fGene Freudenburg
210			_aBerlin, Heidelberg _cSpringer _d2017
215			_aXXII, 319 p.
225			_aEncyclopaedia of Mathematical Sciences
300			_aColocação: Online
303			_aThis book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. These are used to establish classical results, such as Rentschler's Theorem for the plane and the Cancellation Theorem for Curves. More recent results, such as Makar-Limanov's theorem for locally nilpotent derivations of polynomial rings, are also discussed. Topics of special interest include progress in classifying additive actions on three-dimensional affine space, finiteness questions (Hilbert's 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. A lot of new material is included in this expanded second edition, such as canonical factorization of quotient morphisms, and a more extended treatment of linear actions. The reader will also find a wealth of examples and open problems and an updated resource for future investigations.
410			_x0938-0396 _v136.3
606			_aÁlgebra
606			_aGeometria algébrica
606			_aGrupos topológicos
680			_aQA251
700			_aFreudenburg _bGene
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-662-55350-3
942			_2lcc _cF _n0