Multiplicative Invariant Theory (Encyclopaedia of Mathematical Sciences)

Publisher: Springer
Number Of Pages: 177
Publication Date: 2005-04-19
Sales Rank: 2478195
ISBN / ASIN: 3540243232
EAN: 9783540243236
Binding: Hardcover
Manufacturer: Springer
Studio: Springer

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.

Throughout the text, numerous explicit examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2.

The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.