Modular Invariant Theory

• Main Authors: Campbell, H.E.A. Eddy (Author), Wehlau, David L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Encyclopaedia of Mathematical Sciences, 139
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Commutative Rings and Algebras.; Algebraic Geometry.

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,...

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.