Algebraic theory of locally nilpotent derivations

Author(s)

• Freudenburg, Gene

Bibliographic Information

Algebraic theory of locally nilpotent derivations

Gene Freudenburg

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 136 . Invariant theory and algebraic transformation groups ; 7）

Springer, c2006

Note

Includes bibliographical references (p. [243]-256) and index

Description and Table of Contents

Description

This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen 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. The book also includes a wealth of pexamples and open problems.

Table of Contents

First Principles.- Further Properties of Locally Nilpotent Derivations.- Polynomial Rings.- Dimension Two.- Dimension Three.- Linear Actions of Unipotent Groups.- Non-Finitely Generated Kernels.- Algorithms.- The Makar-Limanov and Derksen Invariants.- Slices, Embeddings and Cancellation.- Epilogue.

by "Nielsen BookData"

Details

• NCID: BA7853268X
• ISBN:
  • 3540295216
• LCCN: 2006930262
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xi, 261 p.
• Size: 24 cm
• Subject Headings:
  • LCSH : Geometry, Algebraic
  • LCSH : Commutative algebra
• Parent Bibliography ID:
  • BA01321819