1{ 2 "cell_id" : 3709770344770575223, 3 "cells" : 4 [ 5 { 6 "cell_id" : 18315175544081447475, 7 "cell_origin" : "client", 8 "cell_type" : "latex", 9 "cells" : 10 [ 11 { 12 "cell_id" : 6317143617777149814, 13 "cell_origin" : "client", 14 "cell_type" : "latex_view", 15 "source" : "\\property{Tableau}{A Young-tableau object with unlabelled boxes.}\n\nDeclares that the object carrying this property is used to label a Young tableau with\nunlabelled boxes (Young diagram). The arguments of such objects denote the lenghts of the rows.\nThe \\verb|dimension| argument of the property sets the dimension.\n\nCan be used in combination with the \\verb|lr_tensor| and \\verb|tab_dimension| algorithms\nto compute tensor product representations." 16 } 17 ], 18 "hidden" : true, 19 "source" : "\\property{Tableau}{A Young-tableau object with unlabelled boxes.}\n\nDeclares that the object carrying this property is used to label a Young tableau with\nunlabelled boxes (Young diagram). The arguments of such objects denote the lenghts of the rows.\nThe \\verb|dimension| argument of the property sets the dimension.\n\nCan be used in combination with the \\verb|lr_tensor| and \\verb|tab_dimension| algorithms\nto compute tensor product representations." 20 }, 21 { 22 "cell_id" : 4814324193159731260, 23 "cell_origin" : "client", 24 "cell_type" : "input", 25 "cells" : 26 [ 27 { 28 "cell_id" : 5472831286544245, 29 "cell_origin" : "server", 30 "cell_type" : "latex_view", 31 "source" : "\\begin{dmath*}{}\\text{Attached property Tableau to~}\\ydiagram{1}.\\end{dmath*}" 32 }, 33 { 34 "cell_id" : 16824604591112637874, 35 "cell_origin" : "server", 36 "cell_type" : "latex_view", 37 "cells" : 38 [ 39 { 40 "cell_id" : 10673774897090337872, 41 "cell_origin" : "server", 42 "cell_type" : "input_form", 43 "source" : "\\tableau(2 , 1) \\tableau(2 , 1)" 44 } 45 ], 46 "source" : "\\begin{dmath*}{}\\ydiagram{2,1} \\otimes \\ydiagram{2,1}\\end{dmath*}" 47 }, 48 { 49 "cell_id" : 17444505558726063598, 50 "cell_origin" : "server", 51 "cell_type" : "latex_view", 52 "cells" : 53 [ 54 { 55 "cell_id" : 8552454844429597034, 56 "cell_origin" : "server", 57 "cell_type" : "input_form", 58 "source" : "\\tableau(4 , 2) + \\tableau(4 , 1 , 1) + \\tableau(3 , 3) + 2\\tableau(3 , 2 , 1) + \\tableau(2 , 2 , 2)" 59 } 60 ], 61 "source" : "\\begin{dmath*}{}\\ydiagram{4,2} \\oplus \\ydiagram{4,1,1} \\oplus \\ydiagram{3,3} \\oplus 2\\, \\ydiagram{3,2,1} \\oplus \\ydiagram{2,2,2}\\end{dmath*}" 62 } 63 ], 64 "source" : "\\tableau{#}::Tableau(dimension=3);\nex:=\\tableau{2}{1}\\tableau{2}{1};\nlr_tensor(_);" 65 }, 66 { 67 "cell_id" : 6195976348837135823, 68 "cell_origin" : "client", 69 "cell_type" : "input", 70 "cells" : 71 [ 72 { 73 "cell_id" : 13849739628876949020, 74 "cell_origin" : "server", 75 "cell_type" : "latex_view", 76 "source" : "{}$\\big[$$\\verb|27|$,\\discretionary{}{}{} $\\verb|10|$,\\discretionary{}{}{} $\\verb|10|$,\\discretionary{}{}{} $\\verb|16|$,\\discretionary{}{}{} $\\verb|1|$$\\big]$" 77 } 78 ], 79 "source" : "q=[int(tab_dimension(t.ex())) for t in ex.top().terms()];" 80 }, 81 { 82 "cell_id" : 10192517807076031993, 83 "cell_origin" : "client", 84 "cell_type" : "input", 85 "source" : "" 86 } 87 ], 88 "description" : "Cadabra JSON notebook format", 89 "version" : 1 90} 91