Transactions on Combinatorics (Sep 2013)

On the Nomura algebras of formally self-dual association schemes of class 2

  • Amir Rahnamai Barghi,
  • Azam Hosseini

Journal volume & issue
Vol. 2, no. 3
pp. 1 – 11

Abstract

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‎‎In this paper‎, ‎the type-II matrices on (negative) Latin square graphs are considered and it is proved that‎, ‎under certain conditions‎, ‎the Nomura algebras of such type-II matrices are trivial‎. ‎In addition‎, ‎we construct type-II matrices on doubly regular tournaments and show that the Nomura algebras of such matrices are also trivial‎.

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