e> is not given, the whole Bruhat Poset of <code>W</code> is returned (<code>W</code> must then be finite).</p><pre><code class="language-julia-repl hljs">julia&gt; W=coxsym(3)
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julia&gt; bruhatPoset(W)
.&lt;1,2&lt;21,12&lt;121</code></pre><p>The  above  poset  is  constructed  efficiently  by  constructing the Hasse diagram, but it could be constructed naively as follows:</p><pre><code class="language-julia-repl hljs">julia&gt; p=Poset((x,y)-&gt;bruhatless(W,x,y),elements(W))
()&lt;(1,2),