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Representations of Algebras and Related Topics
 
Edited by: Ragnar-Olaf Buchweitz :  University of Toronto, Toronto, ON, Canada
Helmut Lenzing :  University of Paderborn, Paderborn, Germany
A co-publication of the AMS and Fields Institute
Representations of Algebras and Related Topics
Hardcover ISBN:  978-0-8218-3415-2
Product Code:  FIC/45
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
eBook ISBN:  978-1-4704-3079-5
Product Code:  FIC/45.E
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
Hardcover ISBN:  978-0-8218-3415-2
eBook: ISBN:  978-1-4704-3079-5
Product Code:  FIC/45.B
List Price: $274.00 $207.50
MAA Member Price: $246.60 $186.75
AMS Member Price: $219.20 $166.00
Add to cart
Representations of Algebras and Related Topics
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Representations of Algebras and Related Topics
Edited by: Ragnar-Olaf Buchweitz :  University of Toronto, Toronto, ON, Canada
Helmut Lenzing :  University of Paderborn, Paderborn, Germany
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-3415-2
Product Code:  FIC/45
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
eBook ISBN:  978-1-4704-3079-5
Product Code:  FIC/45.E
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
Hardcover ISBN:  978-0-8218-3415-2
eBook ISBN:  978-1-4704-3079-5
Product Code:  FIC/45.B
List Price: $274.00 $207.50
MAA Member Price: $246.60 $186.75
AMS Member Price: $219.20 $166.00
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 45; 2005; 396 pp
    MSC: Primary 16; 14; 18; 17

    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).
    Readership

    Graduate students and research mathematicians interested in the theory of algebras.
  • Table of Contents
     
     
    • Chapters
    • Edson Alvares and Flávio Coelho — On translation quivers with weak sections
    • Hideto 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
    • Georgia Benkart and Dongho Moon — Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials
    • David Benson, Henning Krause and Stefan Schwede — Introduction to realizability of modules over Tate cohomology
    • Josée Bilodeau — Auslander algebras and simple plane curve singularities
    • Igor Burban and Yuriy Drozd — On derived categories of certain associative algebras
    • Ch. Geiß and I. Reiten — Gentle algebras are Gorenstein
    • Jin Yun Guo — On the primeness of an Artin-Schelter regular Koszul algebra
    • Dieter Happel and Luise Unger — On the set of tilting objects in hereditary categories
    • Lutz Hille — Irreudicible components, nilpotent classes, and the Auslander algebra of $k[T]/T^n$
    • Mitsuo Hoshino and Kenji Nishida — A generalization of the Auslander formula
    • Andrew Hubery — Representations of a quiver with automorphism: Generalising a theorem of Kac
    • Kiyoshi Igusa and Gordana Todorov — On the finitistic global dimension conjecture for Artin algebras
    • O. Khomenko — Some applications of Gelfand-Zetlin modules
    • Dirk Kussin — A tubular algebra with three types of separating tubular families
    • Viktor Levandovskyy — PBW bases, non-degeneracy conditions and applications
    • Dag Madsen — Projective dimensions and Nakayama algebras
    • František Marko — Borel subalgebras of extension algebras
    • František Marko — Extension algebras of standard modules
    • Roberto Martínez Villa and Alex Martsinkovsky — Cohomology of tails and stable cohomology over Koszul quiver algebras
    • Amnon Neeman — A survey of well generated triangulated categories
    • Masahisa Sato — Oneway hereditary rings
    • Mary Schaps — Deformations, tiltings, and decomposition matrices
    • Ralf Schiffler — On the multiplication in the quantized enveloping algebra of type $A$
    • Alexander Zavadskij — Equipped posets of finite growth
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 45; 2005; 396 pp
MSC: Primary 16; 14; 18; 17

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).
Readership

Graduate students and research mathematicians interested in the theory of algebras.
  • Chapters
  • Edson Alvares and Flávio Coelho — On translation quivers with weak sections
  • Hideto 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
  • Georgia Benkart and Dongho Moon — Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials
  • David Benson, Henning Krause and Stefan Schwede — Introduction to realizability of modules over Tate cohomology
  • Josée Bilodeau — Auslander algebras and simple plane curve singularities
  • Igor Burban and Yuriy Drozd — On derived categories of certain associative algebras
  • Ch. Geiß and I. Reiten — Gentle algebras are Gorenstein
  • Jin Yun Guo — On the primeness of an Artin-Schelter regular Koszul algebra
  • Dieter Happel and Luise Unger — On the set of tilting objects in hereditary categories
  • Lutz Hille — Irreudicible components, nilpotent classes, and the Auslander algebra of $k[T]/T^n$
  • Mitsuo Hoshino and Kenji Nishida — A generalization of the Auslander formula
  • Andrew Hubery — Representations of a quiver with automorphism: Generalising a theorem of Kac
  • Kiyoshi Igusa and Gordana Todorov — On the finitistic global dimension conjecture for Artin algebras
  • O. Khomenko — Some applications of Gelfand-Zetlin modules
  • Dirk Kussin — A tubular algebra with three types of separating tubular families
  • Viktor Levandovskyy — PBW bases, non-degeneracy conditions and applications
  • Dag Madsen — Projective dimensions and Nakayama algebras
  • František Marko — Borel subalgebras of extension algebras
  • František Marko — Extension algebras of standard modules
  • Roberto Martínez Villa and Alex Martsinkovsky — Cohomology of tails and stable cohomology over Koszul quiver algebras
  • Amnon Neeman — A survey of well generated triangulated categories
  • Masahisa Sato — Oneway hereditary rings
  • Mary Schaps — Deformations, tiltings, and decomposition matrices
  • Ralf Schiffler — On the multiplication in the quantized enveloping algebra of type $A$
  • Alexander Zavadskij — Equipped posets of finite growth
Review Copy – for publishers of book reviews
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