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Algebraic Theory of Locally Nilpotent Derivations

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...

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Autore principale: Freudenburg, Gene. (Autore, http://id.loc.gov/vocabulary/relators/aut)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:English
Pubblicazione: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edizione:1st ed. 2006.
Serie:Encyclopaedia of Mathematical Sciences, 136
Soggetti:
Commutative algebra.
Commutative rings.
Algebraic geometry.
Topological groups.
Lie groups.
Commutative Rings and Algebras.
Algebraic Geometry.
Topological Groups, Lie Groups.
Accesso online:https://doi.org/10.1007/978-3-540-29523-5
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Sommario:
  • 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.

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