Cohen-Macaulay representations

Cohen-Macaulay representations

by Leuschke, Graham J.

Type Book
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This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two introductory chapters treat the Krull-Remak-Schmidt Theorem on uniqueness of direct-sum decompositions and its failure for modules over local rings. Chapters 3-10 study the central problem of classifying the rings with only finitely many indecompo…

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Title Statements

  • Full title :Cohen-Macaulay representations / Graham J. Leuschke, Roger Wiegand

Summary

This book is a comprehensive treatment of the representation theory of maximal Cohen-Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative algebra, singularity theory, and representations of groups and algebras. Two introductory chapters treat the Krull-Remak-Schmidt Theorem on uniqueness of direct-sum decompositions and its failure for modules over local rings. Chapters 3-10 study the central problem of classifying the rings with only finitely many indecomposable MCM modules up to isomorphism, i.e., rings of finite CM type. The fundamental material--ADE/sim.

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Edition Statements

  • Publication Date:[2012].

Publication Statements

The Physical Object

  • Description:1 online resource (xvii, 367 pages)

Edition Identifiers

  • ISBN:9780821887905, 0821887904
  • oclc:ocn898199893
  • LC Classification:QA251.3
  • Dewey Decimal:512/.44

Subjects

Cohen-Macaulay modules Modules de Cohen-Macaulay Représentations d'anneaux (Algèbre) Representations of rings (Algebra)

Writers

Leuschke, Graham J. Wiegand, Roger

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