type for algebras of commutative polynomials
type for all commutative and skew algebras
type for simple skew algebras
type for other skew algebras
type for skew polynomials
table that denotes an algebra
polynomial in such an algebra
The type CommAlgebra checks if the algebra A is an algebra of commutative polynomials, as declared by Ore_algebra[poly_algebra] (or Ore_algebra[skew_algebra] with no commutation and commutative parameters only).
The type SkewAlgebra checks if the algebra A is built by using Ore_algebra[skew_algebra] with commutations of the form
for constants p, r, and s only. This is the case for the commutation types delta, diff, euler, shift, and their dual forms.
The type SkewParamAlgebra checks if the algebra A is built by using Ore_algebra[skew_algebra] with commutations of the form
for constants p, q, r, and s with at least one commutation with q≠1. This is the case for the commutation types qdelta, qdiff, qdilat, qshift, `shift+qshift`, and their dual forms.
The type OreAlgebra checks if the algebra A is any of the above.
The type SkewPolynomial checks if the membership of the polynomial P in the algebra A. When this algebra allows rational function coefficients, a polynomial with rational function coefficients is a member of the algebra.
Not an algebra!
A commutative algebra of polynomials.
A ≔ poly_algebra⁡a,b,c:
Skew algebras of linear differential operators.
A ≔ diff_algebra⁡Dx,x:
A ≔ diff_algebra⁡Dx,x,polynom=x:
Skew algebras of linear q-recurrence operators.
A ≔ qshift_algebra⁡Sn,qn:
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