{ "cells": [ { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "%display latex" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "# Can only change r for now. Changing p and n won't do anything\n", "r = 3\n", "p = 1\n", "n = 2" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We'll be looking at the Complex reflection group $G(3,1,2)$ which are the $2 \\times 2$ matrices with entries in $\\mathbb{C}$ such that the entires are in $\\left\\{0, 1, \\zeta, \\zeta^2\\right\\}$ where $\\zeta$ is a cube root of unity. In addition each row and each column must have at most one non-zero entry. In particular the group will have the following set of elements:\n", "$$\n", "\\left\\{ \\begin{pmatrix}\\zeta^i & 0 \\\\ 0 & \\zeta^j\\end{pmatrix}, \\begin{pmatrix}0 & \\zeta^i \\\\ \\zeta^j & 0\\end{pmatrix} \\;|\\; i,j \\in [3]\\right\\}\n", "$$\n", "\n", "According to wikipedia, this should have $18 ( = 2^{3 * 2 * (2-1)/2})$ elements and should have $3$ order $2$ reflections and $4$ order $3$ pseudo-reflections.\n", "\n", "Note that a pseudo-reflections are the matrices $M$ such that the eigenvalues of $M$ contain exactly one $1$." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of elements:\n" ] }, { "data": { "text/html": [ "" ] }, "execution_count": 65, "metadata": { }, "output_type": "execute_result" } ], "source": [ "K = CyclotomicField(r)\n", "zeta = K.gen()\n", "z = [zeta]\n", "for i in range(1,r):\n", " z.append(z[0]^(i+1))\n", "G = [matrix(K,[[i,0],[0,j]]) for i in z for j in z] + [matrix(K,[[0,i],[j,0]]) for i in z for j in z]\n", "for M in G:\n", " M.set_immutable()\n", "one = matrix(K,[[1,0],[0,1]])\n", "print \"Number of elements:\"\n", "ordG = len(G)\n", "ordG" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reflections:\n" ] }, { "data": { "text/html": [ "" ] }, "execution_count": 66, "metadata": { }, "output_type": "execute_result" } ], "source": [ "refs = []\n", "for M in G:\n", " if M.eigenvalues().count(1) == 1:\n", " refs.append(M)\n", "print \"Number of reflections:\"\n", "len(refs)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reflections by order:\n" ] }, { "data": { "text/html": [ "" ] }, "execution_count": 67, "metadata": { }, "output_type": "execute_result" } ], "source": [ "refsNum = {}\n", "for i in range(2,r+1):\n", " refsNum[i] = []\n", "for M in refs:\n", " for i in range(1,r+1):\n", " if M^i == one:\n", " refsNum[i].append(M)\n", "print \"Reflections by order:\"\n", "refsNum" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of generating sets:\n" ] }, { "data": { "text/html": [ "" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" } ], "source": [ "SS = Subsets(refs,2)\n", "genSets = []\n", "for i,j in SS:\n", " if len(MatrixGroup(i,j)) == ordG:\n", " genSets.append((i,j))\n", "print \"Number of generating sets:\"\n", "len(genSets)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "All possible generating sets:\n" ] }, { "data": { "text/html": [ "" ] }, "execution_count": 69, "metadata": { }, "output_type": "execute_result" } ], "source": [ "def toNorm(mat,z):\n", " norm = ''\n", " if mat[0][0] == 0:\n", " norm = '-'\n", " x = mat[0][1]\n", " y = mat[1][0]\n", " else:\n", " x = mat[0][0]\n", " y = mat[1][1]\n", " norm += toOrder(x,z)\n", " norm += toOrder(y,z)\n", " return norm\n", "\n", "def toOrder(x,z):\n", " i = 0\n", " while True:\n", " if x == z^i:\n", " return str(i)\n", " i+=1\n", "print \"All possible generating sets:\"\n", "genSets" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We're using the following generating set:\n" ] }, { "data": { "text/html": [ "" ] }, "execution_count": 70, "metadata": { }, "output_type": "execute_result" } ], "source": [ "S = genSets[0]\n", "Snormed = []\n", "for i in S:\n", " Snormed.append(toNorm(i,zeta))\n", "DEdges = []\n", "for i in G:\n", " for e in S:\n", " j = i * e\n", " DEdges.append((toNorm(i,zeta),toNorm(j,zeta),toNorm(e,zeta)))\n", "D = DiGraph(DEdges)\n", "print \"We're using the following generating set:\"\n", "S" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 71, "metadata": { }, "output_type": "execute_result" } ], "source": [ "R = rainbow(2)\n", "edge_colors={}\n", "for i in range(2):\n", " edge_colors[R[i]] = []\n", "for u,v,e in D.edges():\n", " for i in range(2):\n", " if e == Snormed[i]:\n", " edge_colors[R[i]].append((u,v,e))\n", "D.plot(edge_colors=edge_colors,edge_labels=False)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] } ], "metadata": { "kernelspec": { "display_name": "SageMath (stable)", "name": "sagemath" } }, "nbformat": 4, "nbformat_minor": 0 }