def print_mn_operators(n=8):
def wstr(w):
return ' $\\barr{c}' + str(
w) + ' \\\\ ' + w.oneline_repr() + ' \\earr$ '
ans = []
for n in range(2, n + 1, 2):
for mu in Partition.generate(n):
s = []
i = 0
for t in Tableau.standard(mu):
u = dual_irsk(irsk_inverse(t), n).transpose()
s += ['\n&\n'.join([t.tex(), u.tex()])]
i += 1
if i * t.max_row() >= 24:
s += [
'\n\\end{tabular} \\newpage \\begin{tabular}{ccccc} Tableau & Tableau \\\\ \\hline '
]
i = 0
s = '\n \\\\ \\\\ \n'.join(s)
ans += [
'\\begin{tabular}{ccccc} Tableau & Tableau \\\\ \\hline \\\\ \\\\ \n'
+ s + '\n\\end{tabular}'
]
ans = '\n\n\\newpage\n\n'.join(ans + [''])
with open(
'/Users/emarberg/Dropbox/projects/affine-transitions/notes/eric_notes/examples.tex',
'w') as f:
f.write(ans)
f.close()
def print_tableau_operation(n=6):
mapping = {}
for mu in Partition.generate(n):
for tab in Tableau.standard(mu):
w = irsk_inverse(tab)
ntab = dual_irsk(w, sum(mu)).transpose()
mapping[tab] = ntab
print(tab)
print('w =', w)
print(ntab)
#lines = str(tab).split('\n')
#nlines = str(ntab).split('\n')
#assert len(lines) == len(nlines)
#print('\n'.join([lines[i] + ' -> ' + nlines[i] for i in range(len(lines))]))
print()
print()
print()
print()
orders = {}
for tab in mapping:
o = 1
x = mapping[tab]
while x != tab:
o += 1
x = mapping[x]
orders[tab] = o
return orders, mapping
