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