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Representations of Algebras and Related Topics
Edited by: Ragnar-Olaf Buchweitz, University of Toronto, ON, Canada, and Helmut Lenzing, University of Paderborn, Germany
A co-publication of the AMS and Fields Institute.

Fields Institute Communications
2005; 396 pp; hardcover
Volume: 45
ISBN-10: 0-8218-3415-0
ISBN-13: 978-0-8218-3415-2
List Price: US$120
Member Price: US$96
Order Code: FIC/45
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Resulting from the Tenth International Conference on Representations of Algebras and Related Topics held at The Fields Institute (Toronto, ON, Canada), this collection of research and survey articles, honoring Vlastimil Dlab's seventieth birthday, reflects state-of-the-art research on the topic.

Leading experts contributed papers, demonstrating the interaction between representation theory of finite dimensional algebras and neighboring subjects. A wide range of topics are covered, including quantum groups, the theory of Lie algebras, the geometry and combinatorics of tilting theory, commutative algebra, algebraic geometry, homology theories, and derived and triangulated categories. The book is suitable for graduate students and researchers interested in the theory of algebras.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).


Graduate students and research mathematicians interested in the theory of algebras.

Table of Contents

  • E. R. Alvares and F. U. Coelho -- On translation quivers with weak sections
  • H. Asashiba -- Realization of general and special linear algebras via Hall algebras
  • R. Bautista and L. Salmerón -- On discrete and inductive algebras
  • R. Bautista and R. Zuazua -- Exact structures for lift categories
  • G. Benkart and D. Moon -- Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials
  • D. Benson, H. Krause, and S. Schwede -- Introduction to realizability of modules over Tate cohomology
  • J. Bilodeau -- Auslander algebras and simple plane curve singularities
  • I. Burban and Y. Drozd -- On derived categories of certain associative algebras
  • C. Geiß and I. Reiten -- Gentle algebras are Gorenstein
  • J. Y. Guo -- On the primeness of an Artin-Schelter regular Koszul algebra
  • D. Happel and L. Unger -- On the set of tilting objects in hereditary categories
  • L. Hille -- Irreudicible components, nilpotent classes, and the Auslander algebra of \(k[T]/T^n\)
  • M. Hoshino and K. Nishida -- A generalization of the Auslander formula
  • A. Hubery -- Representations of a quiver with automorphism: Generalising a theorem of Kac
  • K. Igusa and G. Todorov -- On the finitistic global dimension conjecture for Artin algebras
  • O. Khomenko -- Some applications of Gelfand-Zetlin modules
  • D. Kussin -- A tubular algebra with three types of separating tubular families
  • V. Levandovskyy -- PBW bases, non-degeneracy conditions and applications
  • D. Madsen -- Projective dimensions and Nakayama algebras
  • F. Marko -- Borel subalgebras of extension algebras
  • F. Marko -- Extesion algebras of standard modules
  • R. Martínez Villa and A. Martsinkovsky -- Cohomology of tails and stable cohomology over Koszul quiver algebras
  • A. Neeman -- A survey of well generated triangulated categories
  • M. Sato -- Oneway hereditary rings
  • M. Schaps -- Deformations, tiltings, and decomposition matrices
  • R. Schiffler -- On the multiplication in the quantized enveloping algebra of type \(A\)
  • A. Zavadskij -- Equipped posets of finite growth
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