E Book

Multiplicative Invariant Theory

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Notations and Conventions -- Groups Acting on Lattices -- Permutation Lattices and Flasque Equivalence -- Multiplicative Actions -- Class Group -- Picard Group -- Multiplicative Invariants of Reflection Groups -- Regularity -- The Cohen-Macaulay Property -- Multiplicative Invariant Fields -- Problems.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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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Berlin, Heidelberg : Springer., 2005

Deskripsi Fisik

XII, 180 p. 5 illus.online resource.

Bahasa

English

ISBN/ISSN

9783540273585

Klasifikasi

512

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Algebra.
Algebraic geometry.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Martin Lorenz.

Versi lain/terkait

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