Algebraic theory of locally nilpotent derivations
著者
書誌事項
Algebraic theory of locally nilpotent derivations
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 136 . Invariant theory and algebraic transformation groups ; 7）
Springer, c2006
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注記
Includes bibliographical references (p. [243]-256) and index
内容説明・目次
内容説明
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.
目次
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.
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