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.
| ISBN: | 9783540243236 |
| Publication date: | 10th March 2005 |
| Author: | Martin Lorenz |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Hardback |
| Pagination: | 177 pages |
| Series: | Encyclopaedia of Mathematical Sciences |
| Genres: |
Algebra 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 features in the following genres: Algebra, Algebraic geometry
Hardback. Not Available.
Multiplicative Invariant Theory was written by Martin Lorenz and published by Springer an imprint of Springer Berlin Heidelberg
Multiplicative Invariant Theory has 177 pages
Yes it is part of Encyclopaedia of Mathematical Sciences series