def up_reflections(self,Q): d = self.dim(Q) up_classes = [X for X in self.schubert_list if (self.dim(X) == d+1) and self.leq(Q,X)] if self.left_multiplication: up_refs = [pf.left_covering(self.index2perm(Q),self.index2perm(P)) for P in up_classes] else: up_refs = [pf.right_covering(self.index2perm(Q),self.index2perm(P)) for P in up_classes] return up_refs
def draw_interval(self,Q,P): print 'classes by dimension:' interval = self.interval(Q,P) for level in interval: print level #print [self.index2changzheng(X) for X in level] print 'connectivity:' if self.left_multiplication: connectivity = [[pf.left_covering(self.index2perm(X),self.index2perm(Y)) for (X,Y) in get_tuples(interval[c],interval[c+1])] for c in range(len(interval)-1)] else: connectivity = [[pf.right_covering(self.index2perm(X),self.index2perm(Y)) for (X,Y) in get_tuples(interval[c],interval[c+1])] for c in range(len(interval)-1)] for level in connectivity: print level
def draw_interval(self,U,V): print 'classes by dimension:' interval = self.interval(U,V) for level in interval: print level if type != 'A': print 'connectivity:' colors = ['green', 'yellow'] if self.left_multiplication: connectivity = [[pf.left_covering(X,Y) for (X,Y) in get_tuples(interval[c],interval[c+1])] for c in range(len(interval)-1)] else: connectivity = [[pf.right_covering(X,Y) for (X,Y) in get_tuples(interval[c],interval[c+1])] for c in range(len(interval)-1)] for i in range(len(interval)-1): level = connectivity[i] num_destinations=len(interval[i+1]) print '' for j in range(int(1.0*len(level)/num_destinations)): print colored(level[j*num_destinations:j*num_destinations+num_destinations], colors[j%2]), print ''