Erhältlich:
Nicht auf Lager
Buch (Hardcover): Fachbuch
Algebraic Theory of Locally Nilpotent Derivations
Verlag:
Springer Verlag Unsere-Artikel-Nr.: 5Z67GRZ
EAN: 9783662553480
Erhältlich:
Nicht auf Lager
Zustellung: Do, 24.09.2026
Versand: Kostenlos
-26.1 %
CHF 188.–
CHF 139.–
Beschreibung
This 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 includedin 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.
Spezifikationen
Sprache
- Englisch
Autor
- Gene Freudenburg
Thema
- Algebra: Allgemein, Gruppen & Gruppentheorie
- Geometrie: Algebraisch
Kollektion
- Encyclopaedia of Mathematical Sciences
Zielgruppe
- Research
Auflage
- 2
Erscheinungsjahr
- 2017
Erscheinungsland
- Deutschland
Format
- Buch (Hardcover)
Anzahl Seiten
- 319