Representations Of Algebras And Related Topics


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Representations of Algebras and Related Topics


Representations of Algebras and Related Topics

Author: Andrzej Skowroński

language: en

Publisher: European Mathematical Society

Release Date: 2011


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This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.

Representations of Algebras and Related Topics


Representations of Algebras and Related Topics

Author: Ragnar-Olaf Buchweitz

language: en

Publisher: American Mathematical Soc.

Release Date: 2005


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Twelve-year-old Molly and her ten-year-old brother, Michael, have never liked their younger stepsister, Heather. Ever since their parents got married, she's made Molly and Michael's life miserable. Now their parents have moved them all to the country to live in a house that used to be a church, with a cemetery in the backyard. If that's not bad enough, Heather starts talking to a ghost named Helen and warning Molly and Michael that Helen is coming for them. Molly feels certain Heather is in some kind of danger, but every time she tries to help, Heather twists things around to get her into trouble. It seems as if things can't get any worse. But they do -- when Helen comes. "Genuinely scary, complete with dark secrets from the past, unsettled graves, and a very real ghost." -- The Bulletin of the Center for Children's Books "An unusually scary, well-crafted ghost fantasy." -- Kirkus Reviews

Representation Theory of Algebras and Related Topics


Representation Theory of Algebras and Related Topics

Author: Raymundo Bautista

language: en

Publisher: American Mathematical Soc.

Release Date: 1996


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The 14 selected papers discuss recent thinking and findings on the representation theory of algebras and its interaction with other areas of mathematics such as algebraic geometry, ring theory, and the representation of groups. The topics include coils and multicoil algebras, representations of wild quivers, the Tits form of a tame algebra, almost split sequences and triangles for Artin algebras and orders, and using approximations to analyze the structure of representations. No index. Members of the Canadian Mathematical Society may order at the AMS member price of $57. Annotation copyright by Book News, Inc., Portland, OR