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02971nam a22004455i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151456.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642174049 |
|
978-3-642-17404-9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA251.3 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.44 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Campbell, H.E.A. Eddy. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Modular Invariant Theory |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by H.E.A. Eddy Campbell, David L. Wehlau. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIV, 234 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Encyclopaedia of Mathematical Sciences, |
International Standard Serial Number |
0938-0396 ; |
Volume number/sequential designation |
139 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1 First Steps -- 2 Elements of Algebraic Geometry and Commutative Algebra -- 3 Applications of Commutative Algebra to Invariant Theory -- 4 Examples -- 5 Monomial Orderings and SAGBI Bases -- 6 Block Bases -- 7 The Cyclic Group Cp -- 8 Polynomial Invariant Rings -- 9 The Transfer -- 10 Invariant Rings via Localization -- 11 Rings of Invariants which are Hypersurfaces -- 12 Separating Invariants -- 13 Using SAGBI Bases to Compute Rings of Invariants -- 14 Ladders -- References -- Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group. It explains a theory that is more complicated than the study of the classical non-modular case, and it describes many open questions. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Geometry, algebraic. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Commutative Rings and Algebras. |
|
Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Algebraic Geometry. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Wehlau, David L. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642174032 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-17404-9 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |