Description

Book Synopsis
Papers in this volume cover theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen-Macaulay modules, quantum groups and other algebraic structures.

Table of Contents
  • Lectures on split-by-nilpotent extensions;
  • A note on sequential walks;
  • A characterization of representation infinite quiver settings;
  • Dualities for modules of finite projective dimension;
  • Frieze varieties are invariant under Coxeter mutation;
  • On tame strongly simply connected algebras;
  • A remark on Hochschild cohomology and Koszul duality;
  • Thick subcategories of the stable category of modules over the exterior algebra;
  • Finite direct sums of cyclic embeddings;
  • The algebraic theory of Fuchsian singularities;
  • Cycle-finite modules over Artin algebras;
  • Piecewise hereditary incidence algebras;
  • Derived categories of gentle algebras and surface dissections;
  • Socle deformations of selfinjective orbit algebras of tilted type.

Advances in Representation Theory of Algebras

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    A Paperback by Ibrahim Assem, Christof Geiss, Sonia Trepode

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      Publisher: MP-AMM American Mathematical
      Publication Date: 3/30/2021 12:00:00 AM
      ISBN13: 9781470451592, 978-1470451592
      ISBN10: 147045159X
      Also in:
      Algebraic geometry

      Description

      Book Synopsis
      Papers in this volume cover theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen-Macaulay modules, quantum groups and other algebraic structures.

      Table of Contents
      • Lectures on split-by-nilpotent extensions;
      • A note on sequential walks;
      • A characterization of representation infinite quiver settings;
      • Dualities for modules of finite projective dimension;
      • Frieze varieties are invariant under Coxeter mutation;
      • On tame strongly simply connected algebras;
      • A remark on Hochschild cohomology and Koszul duality;
      • Thick subcategories of the stable category of modules over the exterior algebra;
      • Finite direct sums of cyclic embeddings;
      • The algebraic theory of Fuchsian singularities;
      • Cycle-finite modules over Artin algebras;
      • Piecewise hereditary incidence algebras;
      • Derived categories of gentle algebras and surface dissections;
      • Socle deformations of selfinjective orbit algebras of tilted type.

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