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Action of MatrixGroup on a MPolynomialRing (first attempt, changes likely necessary!) #35171

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Action of MatrixGroup on a MPolynomialRing (first attempt, changes likely necessary!) #35171

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14 changes: 14 additions & 0 deletions src/sage/groups/matrix_gps/group_element.pyx
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Original file line number Diff line number Diff line change
Expand Up @@ -82,6 +82,8 @@ from sage.libs.gap.element cimport GapElement, GapElement_List
from sage.groups.libgap_wrapper cimport ElementLibGAP

from sage.structure.element import is_Matrix
from sage.rings.polynomial.multi_polynomial_libsingular import MPolynomial_libsingular
from sage.all import PolynomialRing, Matrix as MatrixConstructor
from sage.structure.factorization import Factorization
from sage.misc.cachefunc import cached_method
from sage.rings.integer_ring import ZZ
Expand Down Expand Up @@ -489,6 +491,18 @@ cdef class MatrixGroupElement_gap(ElementLibGAP):
"""
return hash(self.matrix())

def __call__(self, other):
r"""
"""
if type(other)==MPolynomial_libsingular:
assert self.base_ring()==other.base_ring()
mRingPoly=other
polynomial_vars=mRingPoly.variables()
varsToSubstituteModuleContext=self*MatrixConstructor(polynomial_vars).transpose()
varsToSubstituteRingContext=map(PolynomialRing(self.base_ring(), other.variables()), varsToSubstituteModuleContext)
substitutionDict={v:s for v,s in zip(polynomial_vars, varsToSubstituteRingContext)}
return mRingPoly.subs(substitutionDict)

def _repr_(self):
r"""
Return string representation of this matrix.
Expand Down