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Trends in Representation Theory of Algebras and Related Topics.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2006Copyright date: ©2006Edition: 1st edDescription: 1 online resource (282 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821879962
Subject(s): Genre/Form: Additional physical formats: Print version:: Trends in Representation Theory of Algebras and Related TopicsDDC classification:
  • 512
LOC classification:
  • QA155 -- .W67 2004eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Cluster-tilting theory -- Introduction to moduli spaces associated to quivers -- From triangulated categories to Lie algebras: A theorem of Peng and Xiao -- A-infinity algebras, modules and functor categories -- Rouquier's theorem on representation dimension -- Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure -- Categorification of sl2 and braid groups -- 1. Introduction -- Part 1. sl2-categorifications -- 2. sl2-categorifications -- 3. Affine Heeke algebras -- 4. Categorifications on blocks of бn -- 5. Minimal categorifications -- 6. Homotopy and derived equivalences -- 7. Representations of gln(C) -- Part 2. Categorification of braid groups -- 8. Self-equivalences -- 9. The 2-braid group -- 10. Principal block of a semi-simple complex Lie algebra -- 11. Flag varieties -- 12. Appendix : associativity of kernel transforms -- References -- Selfinjective algebras: Finite and tame type -- Support varieties for modules and complexes.
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Intro -- Contents -- Preface -- Cluster-tilting theory -- Introduction to moduli spaces associated to quivers -- From triangulated categories to Lie algebras: A theorem of Peng and Xiao -- A-infinity algebras, modules and functor categories -- Rouquier's theorem on representation dimension -- Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure -- Categorification of sl2 and braid groups -- 1. Introduction -- Part 1. sl2-categorifications -- 2. sl2-categorifications -- 3. Affine Heeke algebras -- 4. Categorifications on blocks of бn -- 5. Minimal categorifications -- 6. Homotopy and derived equivalences -- 7. Representations of gln(C) -- Part 2. Categorification of braid groups -- 8. Self-equivalences -- 9. The 2-braid group -- 10. Principal block of a semi-simple complex Lie algebra -- 11. Flag varieties -- 12. Appendix : associativity of kernel transforms -- References -- Selfinjective algebras: Finite and tame type -- Support varieties for modules and complexes.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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