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Titlebook: Multiplicative Invariant Theory; Martin Lorenz Book 2005 Springer-Verlag Berlin Heidelberg 2005 Algebra.Permutation.commutative rings.fiel

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书目名称Multiplicative Invariant Theory
编辑Martin Lorenz
视频video
概述First book devoted to multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory.Includes supplementary material:
丛书名称Encyclopaedia of Mathematical Sciences
图书封面Titlebook: Multiplicative Invariant Theory;  Martin Lorenz Book 2005 Springer-Verlag Berlin Heidelberg 2005 Algebra.Permutation.commutative rings.fiel
描述.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..
出版日期Book 2005
关键词Algebra; Permutation; commutative rings; field theory; integral representation theory of finite groups; i
版次1
doihttps://doi.org/10.1007/b138961
isbn_softcover978-3-642-06358-9
isbn_ebook978-3-540-27358-5Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 2005
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Book 2005examples 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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