Duality Maps of Finite Abelian Groups and Their Applications to Spin Models

Etsuko Bannai, Akihiro Munemasa

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Duality maps of finite abelian groups are classified. As a corollary, spin models on finite abelian groups which arise from the solutions of the modular invariance equations are determined as tensor products of indecomposable spin models. We also classify finite abelian groups whose Bose-Mesner algebra can be generated by a spin model.

Original languageEnglish
Pages (from-to)223-233
Number of pages11
JournalJournal of Algebraic Combinatorics
Volume8
Issue number3
DOIs
Publication statusPublished - 1998 Jan 1
Externally publishedYes

Keywords

  • Association scheme
  • Finite abelian group
  • Quadratic form
  • Spin model

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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