User:TakuyaMurata/Notes on operads

Matrix representation

In linear algebra, it is often useful and convenient to express a linear operator as a matrix. Much the same is possible for an endofunctor underlying an operad.

Let ${\mathcal {O}}$ be an operad.

References

• M. J. Shai Haran, Arithmetic as Geometry I. The language of non-additive geometry, preprint, 2005
• Clemens Berger, Ieke Moerdijk, Axiomatic homotopy theory for operads Comment. Math. Helv. 78 (2003), 805–831. (arXiv:math/0206094)
• Markus Spitzweck, Operads, Algebras and Modules in General Model Categories, arXiv:math/0101102.