Higher Auslander algebras of type A and the higher Waldhausen S-constructions

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These notes are an expanded version of my talk at the ICRA 2018 in Prague, Czech Republic; they are based on joint work with Tobias Dyckerhoff and Tashi Walde. In them we relate Iyama's higher Auslander algebras of type A to Eilenberg-Mac Lane spaces in algebraic topology and to higher-dimensional versions of the Waldhausen S-construction from algebraic K-theory.
Original languageEnglish
Title of host publicationRepresentation theory and beyond
Place of PublicationProvidence
PublisherAmerican Mathematical Society (AMS)
Number of pages17
ISBN (Electronic)978-1-4704-5699-3
ISBN (Print)978-1-4704-5131-8
Publication statusPublished - 2020
Externally publishedYes

Publication series

NameContemporary Mathematics
PublisherAmerican Mathematical Society (AMS)
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Subject classification (UKÄ)

  • Algebra and Logic

Free keywords

  • Auslander-Reiten theory
  • Eilenberg-Mac Lane spaces
  • Waldhausen S-construction


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