{
	"cell_id" : 3709770344770575223,
	"cells" : 
	[
		{
			"cell_id" : 18315175544081447475,
			"cell_origin" : "client",
			"cell_type" : "latex",
			"cells" : 
			[
				{
					"cell_id" : 6317143617777149814,
					"cell_origin" : "client",
					"cell_type" : "latex_view",
					"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."
				}
			],
			"hidden" : true,
			"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."
		},
		{
			"cell_id" : 4814324193159731260,
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_id" : 5472831286544245,
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "\\begin{dmath*}{}\\text{Attached property Tableau to~}\\ydiagram{1}.\\end{dmath*}"
				},
				{
					"cell_id" : 16824604591112637874,
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"cells" : 
					[
						{
							"cell_id" : 10673774897090337872,
							"cell_origin" : "server",
							"cell_type" : "input_form",
							"source" : "\\tableau(2 , 1) \\tableau(2 , 1)"
						}
					],
					"source" : "\\begin{dmath*}{}\\ydiagram{2,1} \\otimes \\ydiagram{2,1}\\end{dmath*}"
				},
				{
					"cell_id" : 17444505558726063598,
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"cells" : 
					[
						{
							"cell_id" : 8552454844429597034,
							"cell_origin" : "server",
							"cell_type" : "input_form",
							"source" : "\\tableau(4 , 2) + \\tableau(4 , 1 , 1) + \\tableau(3 , 3) + 2\\tableau(3 , 2 , 1) + \\tableau(2 , 2 , 2)"
						}
					],
					"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*}"
				}
			],
			"source" : "\\tableau{#}::Tableau(dimension=3);\nex:=\\tableau{2}{1}\\tableau{2}{1};\nlr_tensor(_);"
		},
		{
			"cell_id" : 6195976348837135823,
			"cell_origin" : "client",
			"cell_type" : "input",
			"cells" : 
			[
				{
					"cell_id" : 13849739628876949020,
					"cell_origin" : "server",
					"cell_type" : "latex_view",
					"source" : "{}$\\big[$$\\verb|27|$,\\discretionary{}{}{} $\\verb|10|$,\\discretionary{}{}{} $\\verb|10|$,\\discretionary{}{}{} $\\verb|16|$,\\discretionary{}{}{} $\\verb|1|$$\\big]$"
				}
			],
			"source" : "q=[int(tab_dimension(t.ex())) for t in ex.top().terms()];"
		},
		{
			"cell_id" : 10192517807076031993,
			"cell_origin" : "client",
			"cell_type" : "input",
			"source" : ""
		}
	],
	"description" : "Cadabra JSON notebook format",
	"version" : 1
}