Algebraic theory of locally nilpotent derivations /
Invariant Theory and Algebraic Transformation Groups VII.
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Main Authors: | |
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Published: |
Springer,
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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 |