E-Book, Englisch, Band 136, 261 Seiten, eBook
Freudenburg Algebraic Theory of Locally Nilpotent Derivations
2006
ISBN: 978-3-540-29523-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 136, 261 Seiten, eBook
Reihe: Encyclopaedia of Mathematical Sciences
ISBN: 978-3-540-29523-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
