examples/young_tableaux.cnb

   1 % Cadabra notebook version 1.1
   2 \documentclass[11pt]{article}
   3 \usepackage[textwidth=460pt, textheight=660pt]{geometry}
   4 \usepackage[usenames]{color}
   5 \usepackage{amssymb}
   6 \usepackage[parfill]{parskip}
   7 \usepackage{breqn}
   8 \usepackage{tableaux}
   9 \def\specialcolon{\mathrel{\mathop{:}}\hspace{-.5em}}
  10 \renewcommand{\bar}[1]{\overline{#1}}
  11 \begin{document}
  12 {\color[named]{Blue}\begin{verbatim}
  13 \tableau{#}::Tableau(dimension=10).
  14 \end{verbatim}}
  15 % Begin TeX comment
  16 Assigning property Tableau to $\tableau{1}
  17 $.
  18 \\
  19 % End TeX comment
  20 {\color[named]{Blue}\begin{verbatim}
  21 \tableau{2}{2} \tableau{2}{2};
  22 \end{verbatim}}
  23 % orig
  24 % \tableau{2 2} \tableau{2 2}
  25 % end_orig
  26 \begin{dmath*}[compact, spread=2pt]
  27 1\specialcolon{}= \tableau{2 2} \tableau{2 2};
  28 \end{dmath*}
  29 {\color[named]{Blue}\begin{verbatim}
  30 @lr_tensor!(%);
  31 \end{verbatim}}
  32 % orig
  33 % \tableau{4 4} + \tableau{4 3 1} + \tableau{4 2 2} + \tableau{3 3 1 1} + \tableau{3 2 2 1} + \tableau{2 2 2 2}
  34 % end_orig
  35 \begin{dmath*}[compact, spread=2pt]
  36 1\specialcolon{}= \tableau{4 4} + \tableau{4 3 1} + \tableau{4 2 2} + \tableau{3 3 1 1} + \tableau{3 2 2 1} + \tableau{2 2 2 2};
  37 \end{dmath*}
  38 {\color[named]{Blue}\begin{verbatim}
  39 \ftableau{#}::FilledTableau(dimension=10).
  40 \end{verbatim}}
  41 % Begin TeX comment
  42 Assigning property FilledTableau to $\ftableau{{\#}}
  43 $.
  44 \\
  45 % End TeX comment
  46 {\color[named]{Blue}\begin{verbatim}
  47 \ftableau{0,0}{1,1} \ftableau{a,a}{b,b};
  48 \end{verbatim}}
  49 % orig
  50 % \ftableau{{0}{0},{1}{1}} \ftableau{{a}{a},{b}{b}}
  51 % end_orig
  52 \begin{dmath*}[compact, spread=2pt]
  53 3\specialcolon{}= \ftableau{{0}{0},{1}{1}} \ftableau{{a}{a},{b}{b}};
  54 \end{dmath*}
  55 {\color[named]{Blue}\begin{verbatim}
  56 @lr_tensor!(%);
  57 \end{verbatim}}
  58 % orig
  59 % (\ftableau{{0}{0}{a}{a},{1}{1}{b}{b}} + \ftableau{{0}{0}{a}{a},{1}{1}{b},{b}} + \ftableau{{0}{0}{a}{a},{1}{1},{b}{b}} + \ftableau{{0}{0}{a},{1}{1}{b},{a},{b}} + \ftableau{{0}{0}{a},{1}{1},{a}{b},{b}} + \ftableau{{0}{0},{1}{1},{a}{a},{b}{b}})
  60 % end_orig
  61 \begin{dmath*}[compact, spread=2pt]
  62 3\specialcolon{}= (\ftableau{{0}{0}{a}{a},{1}{1}{b}{b}} + \ftableau{{0}{0}{a}{a},{1}{1}{b},{b}} + \ftableau{{0}{0}{a}{a},{1}{1},{b}{b}} + \ftableau{{0}{0}{a},{1}{1}{b},{a},{b}} + \ftableau{{0}{0}{a},{1}{1},{a}{b},{b}} + \ftableau{{0}{0},{1}{1},{a}{a},{b}{b}});
  63 \end{dmath*}
  64 \end{document}