Triangulated Categories in the Representation of Finite Dimensional Algebras


Author: Dieter Happel
Publisher: Cambridge University Press
ISBN: 9780521339223
Category: Mathematics
Page: 208
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An introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras reveals that the derived categories are a useful tool in studying tilting processes.

Representations of Algebras and Related Topics


Author: Andrzej Skowroński,Kunio Yamagata
Publisher: European Mathematical Society
ISBN: 9783037191019
Category: Mathematics
Page: 728
View: 4479
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Noncommutative Curves of Genus Zero

Related to Finite Dimensional Algebras
Author: Dirk Kussin
Publisher: American Mathematical Soc.
ISBN: 0821844008
Category: Mathematics
Page: 128
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In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that each such curve $\mathbb{X}$ admits, up to some weighting, a projective coordinate algebra which is a not necessarily commutative graded factorial domain $R$ in the sense of Chatters and Jordan. Moreover, there is a natural bijection between the points of $\mathbb{X}$ and the homogeneous prime ideals of height one in $R$, and these prime ideals are principal in a strong sense.

Surveys in Representation Theory of Algebras


Author: Alex Martsinkovsky,Kiyoshi Igusa,Gordana Todorov
Publisher: American Mathematical Soc.
ISBN: 1470436795
Category: Representations of algebras
Page: 203
View: 2471
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This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.

Trends in Representation Theory of Algebras and Related Topics


Author: Andrzej Skowroński
Publisher: European Mathematical Society
ISBN: 9783037190623
Category: Mathematics
Page: 710
View: 1902
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This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatories, model theory and theoretical physics. The collection of articles, written by leading researchers in the field, is conceived as a sort of handbook providing easy access to the present state of knowledge and stimulating further development.

London Mathematical Society lecture note series


Author: Boris I. Botvinnik
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 7642
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London Mathematical Society lecture note series


Author: Michael S. Paterson
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 7897
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Handbook of Tilting Theory


Author: Dieter Happel,Henning Krause
Publisher: Cambridge University Press
ISBN: 9780521680455
Category: Mathematics
Page: 472
View: 6324
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A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

London Mathematical Society lecture note series


Author: N.A
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: Michael Sh Braverman
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: E. Tournier
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: Nigel Ray,John Frank Adams,Grant Walker
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 3634
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London Mathematical Society lecture note series


Author: Walter Schachermayer
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: S. K. Donaldson
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 1496
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London Mathematical Society lecture note series


Author: Manfred Stoll
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: Andrew Ranicki
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: Samuil Mikhaĭlovich Vovsi
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: A. D. Keedwell
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: C. M. Campbell,E. F. Robertson
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
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London Mathematical Society lecture note series


Author: Alessandro Figà-Talamanca,Claudio Nebbia
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 1748
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