Modular Invariant Theory

Modular Invariant Theory by H.E.A. Eddy Campbell, David L. Wehlau.

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group. It explains a theory that is more complicated than the study of the classical non-modular case, and it describes many open questions. Largely self-contained,...

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Bibliographic Details
Main Authors: Campbell, H.E.A. Eddy (Author), Wehlau, David L. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Encyclopaedia of Mathematical Sciences, 139
Springer eBook Collection.
Subjects:
Commutative algebra.
Commutative rings.
Algebra.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 First Steps
  • 2 Elements of Algebraic Geometry and Commutative Algebra
  • 3 Applications of Commutative Algebra to Invariant Theory
  • 4 Examples
  • 5 Monomial Orderings and SAGBI Bases
  • 6 Block Bases
  • 7 The Cyclic Group Cp
  • 8 Polynomial Invariant Rings
  • 9 The Transfer
  • 10 Invariant Rings via Localization
  • 11 Rings of Invariants which are Hypersurfaces
  • 12 Separating Invariants
  • 13 Using SAGBI Bases to Compute Rings of Invariants
  • 14 Ladders
  • References
  • Index.

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