Manicore::Koszul_exterior< l, d > Class Template Reference

Compute the action of Kozsul and Diff on the exterior algebra. More...

#include <exterior.hpp>

Public Types
typedef Eigen::Matrix< double, Dimension::ExtDim(l-1, d), Dimension::ExtDim(l, d)>	ExtAlgMatType

Static Public Member Functions
static const ExtAlgMatType &	get_transform (size_t i)
static void	init () noexcept

Detailed Description

template<size_t l, size_t d>
class Manicore::Koszul_exterior< l, d >

Compute the action of Kozsul and Diff on the exterior algebra.

The action is returned as a list of matrix between the exterior algebra basis To get the full action, one must take the kronecker product between the action on the polynomial and the action on the exterior algebra In the case of Koszul, the action is the multiply by x_i, and in the case of Diff, it is the differentiated by x_i.

Member Typedef Documentation

ExtAlgMatType

template<size_t l, size_t d>

typedef Eigen::Matrix<double, Dimension::ExtDim(l-1,d), Dimension::ExtDim(l,d)> Manicore::Koszul_exterior< l, d >::ExtAlgMatType

Member Function Documentation

get_transform()

template<size_t l, size_t d>

static const ExtAlgMatType & Manicore::Koszul_exterior< l, d >::get_transform ( size_t  i )

inlinestatic

init()

template<size_t l, size_t d>

static void Manicore::Koszul_exterior< l, d >::init ( )

inlinestaticnoexcept

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The documentation for this class was generated from the following file:

• include/Manicore/exterior.hpp