• Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Equivalence relations; Bratteli diagrams; G-relations

    • Abstract


      In this paper, we study a tower {AnG: n} ≥ 1 of finite-dimensional algebras; here, G represents an arbitrary finite group,d denotes a complex parameter, and the algebraAnG(d) has a basis indexed by ‘G-stable equivalence relations’ on a set whereG acts freely and has 2n orbits. We show that the algebraAnG(d) is semi-simple for all but a finite set of values ofd, and determine the representation theory (or, equivalently, the decomposition into simple summands) of this algebra in the ‘generic case’. Finally we determine the Bratteli diagram of the tower {AnG(d): n} ≥ 1 (in the generic case).

    • Author Affiliations


      Vijay Kodiyalam1 R Srinivasan1 V S Sunder1

      1. Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai - 600 113, India
    • Dates

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2023-2024 Indian Academy of Sciences, Bengaluru.