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Algebraic Theory of Locally Nilpotent Derivations by Gene Freudenburg
Algebraic Theory of Locally Nilpotent Derivations by Gene Freudenburg
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Algebraic Theory of Locally Nilpotent Derivations

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Description

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.
Release date NZ
November 16th, 2010
Audience
  • Professional & Vocational
Edition
Softcover reprint of hardcover 1st ed. 2006
Illustrations
XI, 261 p.
Pages
261
Dimensions
156x234x14
ISBN-13
9783642067327
Product ID
11087324

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Algebraic Theory of Locally Nilpotent Derivations on Hardback by Gene Freudenburg
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