ENGLISH

Multiplicative Invariant Theory

By Martin Lorenz

Book information

Publisher
Springer
Year
2010
ISBN
9783642063589, 3642063586
Language
english
Format
PDF
Filesize
13 MB (13404268 bytes)
Series
Encyclopaedia of Mathematical Sciences
Edition
1st Edition.
Pages
177\177
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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