{"product_id":"9783662553480","title":"Encyclopaedia of Mathematical Sciences","description":"\u003ch1\u003eEncyclopaedia of Mathematical Sciences\u003c\/h1\u003e \u003ch2\u003eFreudenburg, Gene\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003eThe 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.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eMore 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 14\u003csup\u003eth\u003c\/sup\u003e Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eA 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.\u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2017-09-18\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783662553480\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-662-55350-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 319\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45548300107916,"sku":"9783662553480","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783662553480.jpg?v=1775706523","url":"https:\/\/lateknightbooks.com\/products\/9783662553480","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}