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VectorFields : Table of Contents
VectorFields
 a package for manipulating polynomial vector fields
applyVectorField
 apply a vector field to a function or functions
bracket
 compute the Lie bracket of vector fields
commutator
 the commutator of a collection of vector fields
der
 compute the module of vector fields which send one set to another
derivedSeries
 compute the derived series of a set of vector fields
derlog
 compute the logarithmic (tangent) vector fields to an ideal
differences between certain bracketing functions
 The difference between certain bracketing functions
homogeneousVectorFieldDegree
 check if vector fields are homogeneous, and of what degree
isFiniteStratification
 checks if a stratification by integral submanifolds is finite
isFreeDivisor
 check if the provided information is associated with a free divisor
isHHolonomic
 test whether a hypersurface is Hholonomic
isHolonomic
 test whether an algebraic set is holonomic
isHomogeneousVectorField
 determine whether a matrix or module is generated by homogeneous vector fields
isLieAlgebra
 check that a module of vector fields is closed under the Lie bracket
isLogarithmic
 check if the given vector fields are logarithmic
isVectorField
 test whether a module or matrix can be interpreted as a collection of vector fields
lowerCentralSeries
 compute the lower central series of a set of vector fields
StratificationByRank
 a type to hold a rank computation
stratifyByRank
 compute ideals describing where the vector fields have a particular rank