All standard algebaric operators are implemented for fundamental numeric types. Note that sometimes you may encounter type conversion problems, (document PETEcast) Most operations should also work with vector-valued coefficients (using class vec::vector). They are defined in coefficients/vector_algebra.hpp, in namespace "vec". A few specific operators are also available:

vec::inner_product(a,b)	elementwise inner product of a and b
vec::concatenate(a,b)	the result contains vectors of length a.size() + b.size(), build with the elements of a followed by those of b. Also works with scalar arguments.
vec::subscript(a,i)	returns a scalar built from the i-th component of a
vec::ortho(a)	when a={{x,y}} is a 2d vector, returns the vector rotated by +pi/2 : {{-y,x}}