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7.7.12.0. homogfacNthQWeyl
Procedure from library ncfactor.lib (see ncfactor_lib).
- Usage:
- homogfacNthQWeyl(h); h is a homogeneous polynomial in the
n'th q-Weyl algebra with respect to the weight vector
[-1,...,-1,1,...,1].
\__ __/ \__ __/
\/ \/
n/2 n/2
- Return:
- list
- Purpose:
- Computes a factorization of a homogeneous polynomial h
in the n'th q-Weyl algebra
- Theory:
homogfacNthQWeyl returns a list with a factorization of the given,
[-1,1]-homogeneous polynomial. For every i in 1..n: If the degree of the polynomial
in [d_i,x_i] is k with k positive, the last entries in the output list are the second
variable. If k is positive, the last k entries will be x_i. The other
entries will be irreducible polynomials of degree zero or 1 resp. -1. resp. other variables
- General assumptions:
- - The basering is the nth Weyl algebra and has the form, that the first n variables represent
x1, ..., xn, and the second n variables do represent the d1, ...,
dn.
- We have n parameters q_1,..., q_n given.
Example:
See also:
homogfacFirstQWeyl;
homogfacFirstQWeyl_all;
homogfacNthQWeyl_all.
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