Symmetric_Basis.hpp File Reference

Contains the methods and classes for generatic symmetric polynomials. More...

#include "Polynomials.hpp"
#include "Generators.hpp"
#include "impl/Symmetric_Basis.ipp"

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Classes
struct	StandardVariables< T, _deg >
	The standard variables \(x_i\) in a polynomial, with \(|x_i|=1\) and no relations. More...
struct	ElementarySymmetricVariables< T, _deg >
	Variables \(e_1,...,e_n\) of degrees \(|e_i|=i\). More...
class	PolynomialBasis< spec_t, orig_poly_t, new_poly_t >
	Factory class that provides the general interface of a generating basis for a subring of a polynomial ring. More...
class	SymmetricBasis< x_poly_t, e_poly_t >
	Class for symmetric polynomials with no relations, allowing transformation from \(x_i\) variables to \(e_i\) variables and vice-versa. More...

Namespaces
	symmp
	The namespace which contains every method and class in the library.

Detailed Description

Contains the methods and classes for generatic symmetric polynomials.

The goal is to write any symmetric polynomial with no relations in terms of elementary symmetric polynomials The general interface for doing this can be generalized to subrings of polynomial rings with relations