Algebraic theory of locally nilpotent derivations /

Invariant Theory and Algebraic Transformation Groups VII.

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Bibliographic Details
Main Authors: Freudenburg, Gene
Published: Springer,
Publisher Address: Berlin, Germany :
Publication Dates: [2017]
Literature type: Book
Language: English
Edition: Second edition.
Series: Encyclopaedia of mathematical sciences, volume 136
Encyclopaedia of mathematical sciences. Invariant theory and algebraic transformation groups ; VII
Subjects:
Summary: Invariant Theory and Algebraic Transformation Groups VII.
Carrier Form: xxii, 319 pages : illustrations ; 24 cm.
Bibliography: Includes bibliographical references (pages 299-313) and index.
ISBN: 9783662553480
3662553481
9783662553503
3662553503
Index Number: QA564
CLC: O187
Call Number: O187/F889/2nd ed.
Contents: Acknowledgments; Introduction; Historical Overview; Notes on the Second Edition; Contents; 1 First Principles; 1.1 Preliminaries; 1.1.1 Rings and Modules; 1.1.2 Fields; 1.1.3 Localizations; 1.1.4 Degree Functions; 1.1.5 Graded Rings and Homogeneous Derivations; 1.1.6 Associated Graded Rings; 1.1.7 Locally Finite and Locally Nilpotent Derivations; 1.1.8 Degree Function Induced by a Derivation; 1.1.9 Exponential and Dixmier Maps; 1.1.10 Derivative of a Polynomial; 1.2 Basic Facts About Derivations; 1.2.1 Algebraic Operations; 1.2.2 Subalgebra Nil(D); 1.2.3 Kernels; 1.2.4 Localization