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Cohen-Macaulay Representations (Mathematical Surveys and Monographs)
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Description for Cohen-Macaulay Representations (Mathematical Surveys and Monographs)
Hardcover. Provides 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. Much of the content has never before appeared in book form. Series: Mathematical Surveys and Monographs. Num Pages: 367 pages, Illustrations. BIC Classification: PBF. Category: (G) General (US: Trade). Dimension: 254 x 178. Weight in Grams: 456.
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/simple singularities, the double branched cover, Auslander-Reiten theory, and the Brauer-Thrall conjectures--is covered clearly and completely. Much ... Read more
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/simple singularities, the double branched cover, Auslander-Reiten theory, and the Brauer-Thrall conjectures--is covered clearly and completely. Much ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
367
Place of Publication
Providence, United States
ISBN
9780821875810
SKU
V9780821875810
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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