On normalized integral table algebras generated by a non-real faithful element of degree 2 with

摘要

The aim of this article is to classify the normalized integral table algebras (A,B) generated by a non-real faithful element of degree 2 with L1(B)=2. It is proved that such kind of normalized integral table algebras (A,B) is exactly isomorphic to (Ch(GL(2,3)),Irr(GL(2,3))) or (Ch(SL(2,5)(sic)C2)),Irr(SL(2,5)(sic)C-2)).