Publication year: 2005
: 978-3-540-27358-5
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 representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori.
: Mathematics and Statistics, Algebra, Permutation, commutative rings, field theory, integral representation theory of finite groups, invariant theory, transformation groups