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 |  | 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 | doi | https://doi.org/10.1007/b138961 | isbn_softcover | 978-3-642-06358-9 | isbn_ebook | 978-3-540-27358-5Series ISSN 0938-0396 | issn_series | 0938-0396 | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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