DeRhamComputation/sage/as_covers/ith_magical_component.sage

8 lines
383 B
Python

def ith_magical_component(omega, zvee, g):
'''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.'''
AS = omega.curve
p = AS.characteristic
z_vee_fct = zvee.group_action(g).function
new_form = as_form(AS, z_vee_fct*omega.form)
return new_form.trace2()