## Triangulated Categories in the Representation of Finite Dimensional Algebras

**Author**: Dieter Happel

**Publisher:**Cambridge University Press

**ISBN:**9780521339223

**Category:**Mathematics

**Page:**208

**View:**6446

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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:**2575

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## Trends in Representation Theory of Algebras and Related Topics

**Author**: Andrzej Skowroński

**Publisher:**European Mathematical Society

**ISBN:**9783037190623

**Category:**Mathematics

**Page:**710

**View:**1924

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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.

## 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:**614

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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.

## Noncommutative Curves of Genus Zero

*Related to Finite Dimensional Algebras*

**Author**: Dirk Kussin

**Publisher:**American Mathematical Soc.

**ISBN:**0821844008

**Category:**Mathematics

**Page:**128

**View:**8528

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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.

## London Mathematical Society lecture note series

**Author**: Boris I. Botvinnik

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**4961

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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:**9465

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## Representations of Algebras

*Proceedings of the Durham Symposium 1985*

**Author**: Peter Webb,P. J. Webb

**Publisher:**Cambridge University Press

**ISBN:**9780521312882

**Category:**Mathematics

**Page:**199

**View:**1138

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The latest developments in representation theory with emphasis on the representation type of finite-dimensional algebras.

## Handbook of Tilting Theory

**Author**: Lidia Angeleri Hügel,Lidia Angeleri Hugel,Dieter Happel,Henning Krause

**Publisher:**Cambridge University Press

**ISBN:**9780521680455

**Category:**Mathematics

**Page:**472

**View:**1739

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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**: Yūji Yoshino

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**6558

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## London Mathematical Society lecture note series

**Author**: Andrew Ranicki

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**2676

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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:**9351

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## London Mathematical Society lecture note series

**Author**: A. D. Keedwell

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**3415

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## London Mathematical Society lecture note series

**Author**: Samuil Mikhaĭlovich Vovsi

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**1356

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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:**4362

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## London Mathematical Society lecture note series

**Author**: Walter Schachermayer

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**8051

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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:**5832

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## London Mathematical Society lecture note series

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**8430

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## London Mathematical Society lecture note series

**Author**: Alain Grigis,Johannes Sjöstrand

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**6536

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## London Mathematical Society lecture note series

**Author**: Dietmar Salamon

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**1785

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