def specialize(self):
"""specializes to weight k -- i.e. projects to Sym^k -- NO CHARACTER HERE!!"""
assert 0==1, "didn't program character here yet"
k=self.weight
if k==0:
return symk(0,self.moments[0])
else:
# R.<X,Y>=PolynomialRing(QQ,2)
R = PolynomialRing(QQ,('X','Y'))
P=0
for j in range(0,k+1):
P=P+binomial(k,j)*((-1)**j)*self.moments[j]*(X**j)*(Y**(k-j))
return symk(k,P)
def specialize(self):
"""specializes to weight k -- i.e. projects to Sym^k"""
k=self.weight
if k==0:
# R.<X,Y>=PolynomialRing(QQ,2)
R = PolynomialRing(QQ,('X','Y'))
X,Y = R.gens()
P=0
for j in range(0,k+1):
P=P+binomial(k,j)*((-1)**j)*self.moment(j)*(X**j)*(Y**(k-j))
return symk(k,P)
