Multiplicative Invariant Theory

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 repr...

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Hlavní autor: Lorenz, Martin, 1951-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2005.
Edice:Encyclopaedia of Mathematical Sciences 135
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Poznámka: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Multiplicative invariant theory, Martin Lorenz, Berlin, Springer, 2005, 1 vol. (XI-177 p.), Encyclopaedia of mathematical sciences, 3-540-24323-2
• Multiplicative Invariant Theory, Texte imprimé, 9783642063589
• Multiplicative Invariant Theory, Texte imprimé, 9783540806851
• Multiplicative invariant theory, Martin Lorenz, Berlin, Springer, 2005, 1 vol. (XI-177 p.), Encyclopaedia of mathematical sciences, 3-540-24323-2
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Shrnutí: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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Archives Springer e-books (Licence nationale)
ISBN:9783540273585
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