{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring posets related to coxeter groups"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"%display latex"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"W=CoxeterGroup([\"B\",3])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"P = W.bruhat_poset()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"G = P.hasse_diagram()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"G.set_latex_options(format=\"dot2tex\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"view(G)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"W=CoxeterGroup([\"B\",4])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"c=W.coxeter_element()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c.absolute_covers()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[4]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c.descents()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[ 0 0 1 -a]\n",
"[ 1 0 1 -a]\n",
"[ 0 1 1 -a]\n",
"[ 0 0 a -1]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c.matrix()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[\n",
"[ 0 0 -1 a]\n",
"[ 1 0 -1 a]\n",
"[ 0 1 -1 a]\n",
"[ 0 0 0 1]\n",
"]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"c.weak_covers()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"L=W.weak_lattice()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Category of finite enumerated lattice posets\n"
]
}
],
"source": [
"print L.category()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"False"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"L.is_supersolvable()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"L.is_selfdual()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Set of chains of Finite lattice containing 384 elements"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"L.chains()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The absolute order is not yet available for Weyl groups. In the mean time, we construct the same group as a reflection group."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"W = ReflectionGroup([2,1,3])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"48"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"W.cardinality()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"P = W.absolute_poset()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"s = W.simple_reflections()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Finite family {1: (1,10)(2,6)(5,8)(11,15)(14,17), 2: (1,4)(2,11)(3,5)(8,9)(10,13)(12,14)(17,18), 3: (2,5)(3,12)(4,7)(6,8)(11,14)(13,16)(15,17)}"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"(1,10)(2,6)(5,8)(11,15)(14,17)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s[1]"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"I = P.interval(W.one(), s[1]*s[2]*s[3])"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[(),\n",
" (3,18)(5,17)(7,16)(8,14)(9,12),\n",
" (2,5)(3,12)(4,7)(6,8)(11,14)(13,16)(15,17),\n",
" (2,15)(3,9)(4,13)(6,11)(12,18),\n",
" (2,17)(4,16)(5,15)(6,14)(7,13)(8,11)(9,18),\n",
" (2,17,15,5)(3,9,12,18)(4,16,13,7)(6,14,11,8),\n",
" (1,4)(2,11)(3,5)(8,9)(10,13)(12,14)(17,18),\n",
" (1,4)(2,11)(3,17)(5,18)(7,16)(8,12)(9,14)(10,13),\n",
" (1,7)(2,12)(3,11)(5,14)(6,9)(10,16)(15,18),\n",
" (1,7,4)(2,14,3)(5,12,11)(6,8,9)(10,16,13)(15,17,18),\n",
" (1,10)(2,6)(5,8)(11,15)(14,17),\n",
" (1,10)(2,8)(3,12)(4,7)(5,6)(11,17)(13,16)(14,15),\n",
" (1,13)(3,8)(4,10)(5,9)(6,15)(12,17)(14,18),\n",
" (1,13,10,4)(2,6,11,15)(3,5,9,8)(12,14,18,17),\n",
" (1,16)(2,9)(3,15)(6,12)(7,10)(8,17)(11,18),\n",
" (1,16)(2,3)(4,13)(6,18)(7,10)(8,17)(9,15)(11,12),\n",
" (1,16,13)(2,5,9)(3,6,17)(4,10,7)(8,12,15)(11,14,18),\n",
" (1,16,4)(2,8,18)(3,15,5)(6,14,12)(7,13,10)(9,11,17),\n",
" (1,16,10,7)(2,9,6,12)(3,11,18,15)(5,8,14,17),\n",
" (1,16,13,10,7,4)(2,8,12,11,17,3)(5,9,6,14,18,15)]"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"I"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"I = P.subposet(I)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
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At27d8ODBAxw8eBBWVlZQK03eWC4AQY5Op0PHjh2rPPjW6XQVbh4slUohl8uhUCigVCqh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\nSUVORK5CYII=\n",
"text/plain": [
"Graphics object consisting of 66 graphics primitives"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"I.plot()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"True"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"I.is_lattice()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"I = LatticePoset(I)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"True"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"I.is_supersolvable()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 8.0.beta6",
"language": "",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}