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Algebras and Modules II
Edited by: Idun Reiten, Sverre O. Smalø, and Øyvind Solberg, Norwegian University of Science and Technology, Trondheim, Norway
A co-publication of the AMS and Canadian Mathematical Society.
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1998; 569 pp; softcover
Volume: 24
ISBN-10: 0-8218-1076-6
ISBN-13: 978-0-8218-1076-7
List Price: US$126 Member Price: US$100.80
Order Code: CMSAMS/24

This volume contains 43 research papers based on results presented at the Eighth International Conference on Representations of Algebras (ICRA VIII) held in Geiranger, Norway, in 1996. The papers, written by experts in the field, cover the most recent developments in the representation theory of artin algebras and related topics.

The papers cover: representation of tame, biserial, cellular, factorial hereditary, Hopf, Koszul, non-polynomial growth, preprojective, Temperley-Lieb, tilted and quasitilted algebras. Other topics include: tilting/cotilting modules and generalizations as $$*$$-modules, exceptional sequences of modules and vector bundles, homological conjectures, Hochschild cohomology, cyclic homology, homologically finite subcategories, representations of posets, regular modules, vector space categories, triangulated categories, moduli spaces of representations of quivers, postprojective (and preprojective) partitions, stable and derived equivalences, and pure-injective, infinite dimensional, and endofinite representations. A general background in noncommutative algebra including rings, modules, and homological algebra is required.

Features:

• a unique source for the developments in the representation theory of finite dimensional and artin algebras and related topics
• a wide variety of important papers by leading researchers in the field, with references to earlier developments in the field

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

This book is primarily for researchers and advanced students in the representation theory of algebras and other parts of algebra.

• L. Angeleri-Hügel and F. U. Coelho -- A note on a certain class of tilted algebras
• H. Asashiba -- Derived equivalence and stable equivalence of repetitions of algebras of finite global dimension
• I. Assem, A. Beligiannis, and N. Marmaridis -- Right triangulated categories with right semi-equivalences
• Bakke -- The existence of short exact sequences with some of the terms in given subcategories
• M. Bardzell and E. N. Marcos -- Induced boundary maps for the cohomology of monomial and Auslander algebras
• M. Barot -- The repetitive partition of the repetitive category of a tubular algebra
• A. V. Roiter, K. I. Belousov, and L. A. Nazarova -- Representations of finitely represented dyadic sets
• A. B. Buan and Solberg -- Relative cotilting theory and almost complete cotilting modules
• C. Cibils -- Hochschild cohomology algebra of radical square zero algebras
• R. Colpi and G. D'Este -- Equivalences represented by faithful non-tilting $$*$$-modules
• T. Dana-Picard and M. Schaps -- Non reduced components of Alg$$_n$$
• A. P. Dean and F. Okoh -- Extensionless modules of infinite rank
• B. Deng and J. Xiao -- A quiver description of hereditary categories and its application to the first Weyl algebra
• E. Dieterich -- Power-associative real division algebras
• P. Dräxler and C. Geiss -- A note on the $$\mathbb{D}_n$$-pattern
• Y. A. Drozd -- Representations of bisected posets and reflection functors
• O. Enge -- Quasitilted triangular algebras
• K. Erdmann and N. J. Snashall -- Preprojective algebras of Dynkin type, periodicity, and the second Hochschild cohomology
• J. Feldvoss and L. C. Klingler -- Tensor powers and projective modules for Hopf algebras
• K. R. Goodearl and B. Huisgen-Zimmermann -- Repetitive resolutions over classical orders and finite dimensional algebras
• E. L. Green and R. Martínez-Villa -- Koszul and Yoneda algebras. II
• R. M. Green -- On representations of affine Temperley-Lieb algebras
• J. Y. Guo, R. Martínez-Villa, and M. Takane -- Koszul generalized Auslander regular algebras
• D. Happel and I. H. Slungard -- One-point extensions of hereditary algebras
• D. Happel and L. Unger -- Complements and the generalized Nakayama conjecture
• L. Hille -- Toric quiver varieties
• T. Hubner -- Hereditary module categories arising as categories perpendicular to exceptional vector bundles
• B. M. Keller -- An overview of results on cyclic homology of exact categories
• O. Kerner and M. Takane -- Universal filtrations for modules in perpendicular categories
• S. Koenig and C. Xi -- On the structure of cellular algebras
• H. Krause -- Stable equivalence and representation type
• D. Kussin -- Factorial algebras, quaternions and preprojective algebras
• D. Madsen -- Almost split sequences for commutative artinian rings
• H. Meltzer -- Exceptional sequences and tilting complexes for hereditary algebras of type $$\mathbb{A}_n$$
• J. A. M. De La Pena and A. Skowronski -- Substructures of non-polynomial growth algebras with weakly non-negative Tits form
• M. I. Platzeck -- Relations and modules of finite projective dimension over algebras whose idempotent ideals are projective
• M. Y. Prest -- Morphisms between finitely presented modules and infinite-dimensional representations
• I. Reiten -- Homological properties of almost split sequences
• C. M. Ringel -- The preprojective algebra of a quiver
• K. W. Roggenkamp -- Biserial algebras and graphs
• M. Schmidmeier -- Endofinite modules over hereditary artinian PI-rings
• C. Xi -- Twisted doubles of algebras. I: Deformations of algebras and the Jones index
• A. G. Zavadskij -- On tame vectorspace categories. II
• P. Zhang -- Selforthogonal radical algebras