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. Following are the features: it presents a unique source for the developments in the representation theory of finite dimensional and artin algebras and related topics; and, a wide variety of important papers by leading researchers in the field, with references to earlier developments in the field.
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Für höhere Schule und Studium
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Höhe: 253 mm
Breite: 176 mm
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ISBN-13
978-0-8218-1076-7 (9780821810767)
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Schweitzer Klassifikation
A note on a certain class of tilted algebras by L. Angeleri-Hugel and F. U. Coelho Derived equivalence and stable equivalence of repetitions of algebras of finite global dimension by H. Asashiba Right triangulated categories with right semi-equivalences by I. Assem, A. Beligiannis, and N. Marmaridis The existence of short exact sequences with some of the terms in given subcategories by O. Bakke Induced boundary maps for the cohomology of monomial and Auslander algebras by M. Bardzell and E. N. Marcos The repetitive partition of the repetitive category of a tubular algebra by M. Barot Representations of finitely represented dyadic sets by A. V. Roiter, K. I. Belousov, and L. A. Nazarova Relative cotilting theory and almost complete cotilting modules by A. B. Buan and O. Solberg Hochschild cohomology algebra of radical square zero algebras by C. Cibils Equivalences represented by faithful non-tilting $*$-modules by R. Colpi and G. D'Este Non reduced components of Alg$_n$ by T. Dana-Picard and M. Schaps Extensionless modules of infinite rank by A. P. Dean and F. Okoh A quiver description of hereditary categories and its application to the first Weyl algebra by B. Deng and J. Xiao Power-associative real division algebras by E. Dieterich A note on the $\mathbb{D}_n$-pattern by P. Draxler and C. Geiss Representations of bisected posets and reflection functors by Y. A. Drozd Quasitilted triangular algebras by O. Enge Preprojective algebras of Dynkin type, periodicity, and the second Hochschild cohomology by K. Erdmann and N. J. Snashall Tensor powers and projective modules for Hopf algebras by J. Feldvoss and L. C. Klingler Repetitive resolutions over classical orders and finite dimensional algebras by K. R. Goodearl and B. Huisgen-Zimmermann Koszul and Yoneda algebras. II by E. L. Green and R. Martinez-Villa On representations of affine Temperley-Lieb algebras by R. M. Green Koszul generalized Auslander regular algebras by J. Y. Guo, R. Martinez-Villa, and M. Takane One-point extensions of hereditary algebras by D. Happel and I. H. Slungard Complements and the generalized Nakayama conjecture by D. Happel and L. Unger Toric quiver varieties by L. Hille Hereditary module categories arising as categories perpendicular to exceptional vector bundles by T. Hubner An overview of results on cyclic homology of exact categories by B. M. Keller Universal filtrations for modules in perpendicular categories by O. Kerner and M. Takane On the structure of cellular algebras by S. Koenig and C. Xi Stable equivalence and representation type by H. Krause Factorial algebras, quaternions and preprojective algebras by D. Kussin Almost split sequences for commutative artinian rings by D. Madsen Exceptional sequences and tilting complexes for hereditary algebras of type $\mathbb{A}_n$ by H. Meltzer Substructures of non-polynomial growth algebras with weakly non-negative Tits form by J. A. M. De La Pena and A. Skowronski Relations and modules of finite projective dimension over algebras whose idempotent ideals are projective by M. I. Platzeck Morphisms between finitely presented modules and infinite-dimensional representations by M. Y. Prest Homological properties of almost split sequences by I. Reiten The preprojective algebra of a quiver by C. M. Ringel Biserial algebras and graphs by K. W. Roggenkamp Endofinite modules over hereditary artinian PI-rings by M. Schmidmeier Twisted doubles of algebras. I: Deformations of algebras and the Jones index by C. Xi On tame vectorspace categories. II by A. G. Zavadskij Selforthogonal radical algebras by P. Zhang.
