On the nomura algebras of formally self-dual association schemes of class ۲

‎‎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.

کلیدواژه ها:

‎Doubly regular tournament‎ ، ‎Nomura algebra‎ ، ‎strongly regular graph‎ ، ‎type-II matrix