Multiplicative Invariant Theory - Encyclopaedia of Mathematical Sciences - Martin Lorenz - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783642063589 - October 19, 2010
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Martin Lorenz
Multiplicative Invariant Theory - Encyclopaedia of Mathematical Sciences 1st Ed. Softcover of Orig. Ed. 2005 edition

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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.

180 pages, 5 black & white illustrations, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released October 19, 2010
ISBN13 9783642063589
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 180
Dimensions 156 × 234 × 10 mm   ·   276 g
Language English  

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