  We investigate algebras with one operation. We study when these algebras form
a monoidal category and analyze Koszulness and cyclicity of the corresponding
operads. We also introduce a new kind of symmetry for operads, the dihedrality,
responsible for the existence of the dihedral cohomology.
  The main trick, which we call the polarization, will be to represent an
algebra with one operation without any specific symmetry as an algebra with one
commutative and one anticommutative operation. We will try to convince the
reader that this change of perspective might sometimes lead to new insights and
results.
  This point of view was used by Livernet and Loday to introduce a
one-parametric family of operads whose specialization at 0 is the operad for
Poisson algebras, while at a generic point it equals the operad for associative
algebras. We study this family and explain how it can be used to interpret the
deformation quantization in a neat and elegant way.
