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Algebras, quivers and representations / [edited by] Aslak Bakke Buan, Idun Reiten and Oyvind Solberg.

By: Contributor(s): Material type: TextTextSeries: Abel symposia ; 8Publication details: Berlin : Springer-Verlag, 2013.Description: xx, 298 p. : Ill.(one color), graphs ; 25 cmISBN:
  • 9783642394843 (hard cover : alk. paper)
Subject(s): DDC classification:
  • 23 Ab139 512
Contents:
Preprojective algebras, singularity categories and orthogonal decompositions / C. Amiot -- (Contravariant) Koszul duality for DG algebras / L. Avramov -- The fundamental group of a morphism in a triangulated category / R. Buchweitz -- On Hochschild cohomology of weakly symmetric special biserial algebras / K. Erdmann -- Algebras of finite global dimension / D. Happel -- Continuous Frobenius categories / K. Igusa (with G. Todorov) -- Triangle functors from generic hypersurfaces / D.A. Jorgensen -- Combinatorics of KP solutions from the real Grassmannian / Y. Kodama (with L. Williams) -- Morphisms determined by objects in triangulated categories / H. Krause -- Cycle-finite module categories / P. Malicki (with J.A. de la Pena and A. Skowronski) -- Cycle-finite module categories / J.A. de la Pena, P. Malicki and A. Skowronski -- Distinguished bases of exceptional modules / C.M. Ringel -- Cycle-finite module categories / A. Skowronski (with P. Malicki and J.A. de la Pena) -- Acyclic cluster algebras revisited / D. Speyer and H. Thomas -- Appendix-- References.
Summary: This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512 Ab139 (Browse shelf(Opens below)) Available 135475
Total holds: 0

Includes bibliographical references.

Preprojective algebras, singularity categories and orthogonal decompositions / C. Amiot --
(Contravariant) Koszul duality for DG algebras / L. Avramov --
The fundamental group of a morphism in a triangulated category / R. Buchweitz --
On Hochschild cohomology of weakly symmetric special biserial algebras / K. Erdmann --
Algebras of finite global dimension / D. Happel --
Continuous Frobenius categories / K. Igusa (with G. Todorov) --
Triangle functors from generic hypersurfaces / D.A. Jorgensen --
Combinatorics of KP solutions from the real Grassmannian / Y. Kodama (with L. Williams) --
Morphisms determined by objects in triangulated categories / H. Krause --
Cycle-finite module categories / P. Malicki (with J.A. de la Pena and A. Skowronski) --
Cycle-finite module categories / J.A. de la Pena, P. Malicki and A. Skowronski --
Distinguished bases of exceptional modules / C.M. Ringel --
Cycle-finite module categories / A. Skowronski (with P. Malicki and J.A. de la Pena) --
Acyclic cluster algebras revisited / D. Speyer and H. Thomas --
Appendix--
References.

This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories.

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