Multiplicative Invariant Theory

• Main Author: Lorenz, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Encyclopaedia of Mathematical Sciences, 135
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Algebraic Geometry.

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far.. Multiplicative invariant theory is intimately tied to integral repr...

Table of Contents:

• Notations and Conventions
• Groups Acting on Lattices
• Permutation Lattices and Flasque Equivalence
• Multiplicative Actions
• Class Group
• Picard Group
• Multiplicative Invariants of Reflection Groups
• Regularity
• The Cohen-Macaulay Property
• Multiplicative Invariant Fields
• Problems.