
Chapter 10
Case Study of Nonsymmetric
Ternary Quadratic Operads
10.1 Introduction
There are not many examples of nonsymmetric operads that arise very
naturally in research questions, and most of those that do are generated by
binary operations. In this section, we shall discuss some attempts at hunt-
ing for interesting examples of operads generated by one ternary operation.
Throughout this chapter, we again implicitly assume that the ground field is
algebraically closed or at least contains roots of all equations we solve; we
leave it to the reader to adapt the results appropriately for when it is not the
case. For the extension of these results to one ...