Multiplicative Invariant Theory (Encyclopaedia of Mathematical Sciences)

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." "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."--BOOK JACKET.

First Sentence

Aside from introducing the basic terminology and notations concerning lattices, this chapter serves the dual purpose of ( 1 ) deploying a range of tools for the investigation of lattices later in the text and (2) providing some background on integral representations of groups and integral matrix groups along with a number of examples.

Subjects