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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Freudenburg, Gene (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Édition:1st ed. 2006.
Collection:Encyclopaedia of Mathematical Sciences ; 136
Sujets:
Commutative algebra.
Commutative rings.
Algebraic geometry.
Topological groups.
Lie groups.
Commutative Rings and Algebras.
Algebraic Geometry.
Topological Groups and Lie Groups.
Accès en ligne:Texto Completo
Table des matières:
  • 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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