exterior.hpp File Reference

#include "exterior_dimension.hpp"
#include <vector>
#include <array>
#include <unordered_map>
#include <algorithm>
#include <cstdlib>
#include <cassert>
#include <Eigen/Dense>
#include <unsupported/Eigen/KroneckerProduct>

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Classes
class	Manicore::ExteriorBasis< l, d >
	Class to handle the exterior algebra basis. More...
class	Manicore::Koszul_exterior< l, d >
	Compute the action of Kozsul and Diff on the exterior algebra. More...
class	Manicore::Diff_exterior< l, d >
struct	Manicore::Compute_pullback< l, d1, d2 >
struct	Manicore::Compute_pullback< 0, d1, d2 >
struct	Manicore::Compute_pullback< 1, d1, d2 >
struct	Manicore::Compute_pullback< d, d, d >
struct	Manicore::Compute_pullback< 1, 1, 1 >
struct	Manicore::Compute_pullback< 2, 2, 3 >
struct	Manicore::Compute_pullback< 2, 3, 2 >
struct	Manicore::Compute_pullback< 2, 3, 3 >
struct	Manicore::Monomial_powers< d >
	Generate a basis of monomial powers of degree r. More...
struct	Manicore::Koszul_homogeneous_mat< d, index >
	Generate the matrices for the Koszul operator on homogeneous monomial. More...
struct	Manicore::Diff_homogeneous_mat< d, index >
	Generate the matrices for the Differential operator on homogeneous monomial. More...
struct	Manicore::Koszul_full< l, d >
	Koszul operator from $P_r\Lambda^l(R^d)$ to $P_{r+1}\Lambda^{l-1}(R^d)$. More...
struct	Manicore::Diff_full< l, d >
	Differential operator from $P_r\Lambda^l(R^d)$ to $P_{r-1}\Lambda^{l+1}(R^d)$. More...
struct	Manicore::Initialize_exterior_module< d >
	Initialize every class related to the polynomial degree r. More...

Namespaces
namespace	Manicore

Functions
template<typename V , typename Derived >
double	Manicore::Compute_partial_det (const V &a1, const V &a2, const Eigen::MatrixBase< Derived > &A)
	Generic determinant computation.