Multiplicative invariant theory
著者
書誌事項
Multiplicative invariant theory
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 135 . Invariant theory and algebraic transformation groups ; 6）
Springer, c2005
- : pbk
大学図書館所蔵 件 / 全71件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references: p. [161]-171
Includes index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より
