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Algebraic Theory of Locally Nilpotent Derivations

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Algebraic Theory of Locally Nilpotent Derivations

Gene Freudenburg

Springer
Collection: Encyclopaedia of Mathematical Sciences
Publication date : 2007-07-18

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This book explores the theory and application of locally nilpotent derivations, which is a subject of growing interest and importance not only among those in commutative algebra and algebraic geometry, but also in fields such as Lie algebras and differential equations.

The author provides a unified treatment of the subject, beginning with 16 First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. Topics of special interest include: progress in the dimension three case, finiteness questions (Hilbert’s 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. The reader will also find a wealth of pertinent examples and open problems and an up-to-date resource for research.

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About the book

Author

Gene Freudenburg

Imprint

Springer

Collection

Encyclopaedia of Mathematical Sciences

Publication date

2007-07-18

Pages

261 pages

Print ISBN

9783540295211

Language

English

Ebook informations

EAN PDF

9783540295235

Price

£123.00

Copy count 2

Print count 26

File size 2396 Ko

Informations accessibility

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About author(s)

Gene Freudenburg

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