DeRhamComputation/as_covers/ith_magical_component.sage

6 lines
327 B
Python

def ith_magical_component(omega, zvee, g, super=True):
'''Given a form omega on AS cover, element g of group AS.group and normal basis element zmag, find the decomposition
sum_g g(zmag) omega_g and return omega_g.'''
z_vee_g = zvee.group_action(g)
new_form = z_vee_g*omega
return new_form.trace(super=super)