Algebraic Theory of Locally Nilpotent Derivations

AvGene Freudenburg

Häftad, Engelska, 2010

Del i serien Encyclopaedia of Mathematical Sciences

1 976 kr

Tillfälligt slut

Fler format och utgåvor

1 961 kr

1 653 kr

2 065 kr

1 653 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2010-11-16
Mått:155 x 235 x undefined mm
Vikt:423 g
Format:Häftad
Språk:Engelska
Serie:Encyclopaedia of Mathematical Sciences
Antal sidor:261
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642067327

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Grupper och gruppteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "In the volume under review, the author gives a detailed description of the subject covering all the important results ... . the book has a wealth of examples and the Epilogue details some important open problems in the area. ... is accessible to less advanced graduate students. It is a valuable addition to the literature and am sure would be very helpful to the interested student and researcher alike." (N. Mohan Kumar, Zentralblatt MATH, Vol. 1121 (23), 2007)

Innehållsförteckning

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.

Mer från samma författare

Del 319

Polynomial Rings and Affine Algebraic Geometry

Shigeru Kuroda, Nobuharu Onoda, Gene Freudenburg

Inbunden, 2020

1 873 kr

Polynomial Rings and Affine Algebraic Geometry

Gene Freudenburg, Nobuharu Onoda, Shigeru Kuroda

E-bok

2020

2 384 kr

Del 319

Polynomial Rings and Affine Algebraic Geometry

Shigeru Kuroda, Nobuharu Onoda, Gene Freudenburg

Häftad, 2021

1 873 kr

Mer från samma serie

Del 5

Dynamical Systems V

V.I. Arnold, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov, V.I. Arnold

Inbunden, 1994

1 105 kr

Del 141

Graphs on Surfaces and Their Applications

Sergei K. Lando, Alexander K. Zvonkin, R.V. Gamkrelidze, V.A. Vassiliev

Inbunden, 2003

2 202 kr

Probability on Discrete Structures

Harry Kesten

Inbunden, 2003

1 105 kr

Del 1

Dynamical Systems I

D.V. Anosov, S.Kh. Aranson, V.I. Arnold, I.U. Bronshtein, V.Z. Grines, Yu.S. Ilyashenko, D.V. Anosov, V.I. Arnold

Inbunden, 1988

1 105 kr

Del 12

Topology I

S.P. Novikov, S.P. Novikov

Inbunden, 1995

1 105 kr

Several Complex Variables

G. M. Khenkin, A.G. Vitushkin

Inbunden, 1994

885 kr

Del 16

Dynamical Systems VII

V.I. Arnol'd, S.P. Novikov

Inbunden, 1993

1 105 kr

Del 15

Commutative Harmonic Analysis I

V.P. Khavin, N.K. Nikol'skij

Inbunden, 1991

1 105 kr

Del 20

Lie Groups and Lie Algebras I

V.V. Gorbatsevich, A.L. Onishchik, E.B. Vinberg, A.L. Onishchik

Inbunden, 1993

1 105 kr

Representation Theory and Noncommutative Harmonic Analysis I

A.A. Kirillov

Inbunden, 1994

1 105 kr

Du kanske också är intresserad av

Nyhet

L'amour toujours : Berättelsen om Tidö

Maggie Strömberg, Torbjörn Nilsson

Inbunden, 2026

275 kr