Multiplicative Invariant Theory

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  • Multiplicative Invariant Theory Book Detail

  • Author : Martin Lorenz
  • Release Date : 2005-03-10
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 200
  • ISBN 13 : 9783540243236
  • File Size : 67,67 MB

Multiplicative Invariant Theory by Martin Lorenz PDF Summary

Book 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.. 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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Multiplicative Invariant Theory

Multiplicative Invariant Theory

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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

Multiplicative Invariant Theory

Multiplicative Invariant Theory

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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

Computational Invariant Theory

Computational Invariant Theory

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This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calc

Lectures on Invariant Theory

Lectures on Invariant Theory

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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal back

Modular Invariant Theory

Modular Invariant Theory

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This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is m