Fields Institute Communications 2005; 396 pp; hardcover Volume: 45 ISBN10: 0821834150 ISBN13: 9780821834152 List Price: US$126 Member Price: US$100.80 Order Code: FIC/45
 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 stateoftheart 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 copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership 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 TemperleyLieb 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 ArtinSchelter 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 GelfandZetlin modules
 D. Kussin  A tubular algebra with three types of separating tubular families
 V. Levandovskyy  PBW bases, nondegeneracy 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
