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Algebraic Theory of Locally Nilpotent Derivations

This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a...

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Bibliographic Details
Main Author: Freudenburg, Gene
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2017, 2017
Edition:2nd ed. 2017
Series:Encyclopaedia of Mathematical Sciences
Subjects:
Commutative Algebra
Algebraic Geometry
Commutative Rings And Algebras
Topological Groups And Lie Groups
Lie Groups
Topological Groups
Commutative Rings
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • 1 First Principles
  • 2 Further Properties of LNDs
  • 3 Polynomial Rings
  • 4 Dimension Two
  • 5 Dimension Three
  • 6 Linear Actions of Unipotent Groups
  • 7 Non-Finitely Generated Kernels
  • 8 Algorithms
  • 9 Makar-Limanov and Derksen Invariants
  • 10 Slices, Embeddings and Cancellation
  • 11 Epilogue
  • References
  • Index

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