WeylAlgebras : Index

• AnnG -- finds a cyclic generator of a D-module
• characteristicIdeal -- characteristic ideal of a D-module
• characteristicIdeal(Ideal) -- characteristic ideal of a D-module
• characteristicIdeal(Module) -- characteristic ideal of a D-module
• createDpairs -- pairs coordinate and derivation variables in a Weyl algebra
• createDpairs(PolynomialRing) -- pairs coordinate and derivation variables in a Weyl algebra
• Ddim -- dimension of a D-module
• Ddim(Ideal) -- dimension of a D-module
• Ddim(Module) -- dimension of a D-module
• dpairInds -- pairs coordinate and derivation variables in a Weyl algebra
• dpairVars -- pairs coordinate and derivation variables in a Weyl algebra
• Dprune -- prunes a D-module
• Dprune(...,MinimalGenerators=>...) -- prunes a D-module
• Dprune(Matrix) -- prunes a D-module
• Dprune(Module) -- prunes a D-module
• DsingularLocus -- singular locus of a D-module
• DsingularLocus(Ideal) -- singular locus of a D-module
• DsingularLocus(Module) -- singular locus of a D-module
• Dtrace -- set or get the depth of comments made by D-module routines
• Dtrace(Sequence) -- set or get the depth of comments made by D-module routines
• Dtrace(ZZ) -- set or get the depth of comments made by D-module routines
• Dtransposition -- standard transposition for Weyl algebra
• Dtransposition(ChainComplex) -- standard transposition for Weyl algebra
• Dtransposition(Ideal) -- standard transposition for Weyl algebra
• Dtransposition(Matrix) -- standard transposition for Weyl algebra
• Dtransposition(RingElement) -- standard transposition for Weyl algebra
• extractDiffsAlgebra -- underlying polynomial ring in the differentials of a Weyl algebra
• extractDiffsAlgebra(PolynomialRing) -- underlying polynomial ring in the differentials of a Weyl algebra
• extractVarsAlgebra -- underlying polynomial ring in the ordinary variables of a Weyl algebra
• extractVarsAlgebra(PolynomialRing) -- underlying polynomial ring in the ordinary variables of a Weyl algebra
• Fourier -- Fourier transform for Weyl algebra
• Fourier(ChainComplex) -- Fourier transform for Weyl algebra
• Fourier(Ideal) -- Fourier transform for Weyl algebra
• Fourier(Matrix) -- Fourier transform for Weyl algebra
• Fourier(Module) -- Fourier transform for Weyl algebra
• Fourier(RingElement) -- Fourier transform for Weyl algebra
• FourierInverse -- Fourier transform for Weyl algebra
• FourierInverse(ChainComplex) -- Fourier transform for Weyl algebra
• FourierInverse(Ideal) -- Fourier transform for Weyl algebra
• FourierInverse(Matrix) -- Fourier transform for Weyl algebra
• FourierInverse(Module) -- Fourier transform for Weyl algebra
• FourierInverse(RingElement) -- Fourier transform for Weyl algebra
• gbw -- compute a Gröbner basis with respect to a weight vector
• gbw(...,Strategy=>...) -- compute a Gröbner basis with respect to a weight vector
• gbw(Ideal,List) -- compute a Gröbner basis with respect to a weight vector
• gbw(Matrix,List) -- compute a Gröbner basis with respect to a weight vector
• Generator -- finds a cyclic generator of a D-module
• getHomSwitch -- toggle the use of homogeneous Weyl algebra
• holonomicRank -- holonomic rank of a D-module
• holonomicRank(Ideal) -- holonomic rank of a D-module
• holonomicRank(Module) -- holonomic rank of a D-module
• inw -- get the initial term or ideal with respect to a weight vector
• inw(Ideal,List) -- get the initial term or ideal with respect to a weight vector
• inw(Matrix,List) -- get the initial term or ideal with respect to a weight vector
• inw(RingElement,List) -- get the initial term or ideal with respect to a weight vector
• isHolonomic -- determines whether a D-module (or ideal in Weyl algebra) is holonomic
• isHolonomic(Ideal) -- determines whether a D-module (or ideal in Weyl algebra) is holonomic
• isHolonomic(Module) -- determines whether a D-module (or ideal in Weyl algebra) is holonomic
• makeCyclic -- finds a cyclic generator of a D-module
• makeCyclic(Matrix) -- finds a cyclic generator of a D-module
• makeWeylAlgebra -- Weyl algebra corresponding to a polynomial ring
• makeWeylAlgebra(...,SetVariables=>...) -- Weyl algebra corresponding to a polynomial ring
• makeWeylAlgebra(PolynomialRing) -- Weyl algebra corresponding to a polynomial ring
• setHomSwitch -- toggle the use of homogeneous Weyl algebra
• setHomSwitch(Boolean) -- toggle the use of homogeneous Weyl algebra
• SetVariables -- Weyl algebra corresponding to a polynomial ring
• stafford -- computes 2 generators for a given ideal in the Weyl algebra
• stafford(Ideal) -- computes 2 generators for a given ideal in the Weyl algebra
• WeylAlgebras -- algorithms for D-modules