Standard integral table algebras generated by a non-real element of small degree / Zvi Arad, Mikhail Muzychuk

... Chapter 1 is introductory and is written by Z. Arad and M. Muzychuk describing all the concepts needed to study table algebras. Chapter two is written by Z. Arad, M. Muzychuk, H. Arisha and E. Fisman and deals with SITAs containing a faithful non-real element of degree 4. Chapter three is written by Z. Arad, F. Bunger, E. Fisman and M. Muzychuk and deals with SITAs with a faithful non-real element of degree 5. Chapter four is written by F. Bunger and studies SITAs with a faithful real element of degree 5 and width 3. Finally, in chapter five which is written by M. Hirasaka, primitive commutative association schemes which contain a connected non-symmetric relation of valency 3 or 4 are classified. This chapter may be viewed as an application of abstraction of Bose-Mesner algebras to ITAs. In this book for all the known SITAs which are generated by a non-real element of degree k, the degrees of all basis elements are bounded by a function of k. ... (Zentralblatt)