ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Thu, 27 Aug 2020 12:03:07 +0200Free modular lattice on 3 generators in Sagehttps://ask.sagemath.org/question/52657/free-modular-lattice-on-3-generators-in-sage/Is there an easy/quick way to obtain the free modular lattice on 3 generators in Sage (it has 28 elements)?
I searched a bit but was not able to find a good way.
See https://blogs.ams.org/visualinsight/2016/01/01/free-modular-lattice-on-3-generators/ for the definition/visualization.
By the way, is there a reference for what the free modular lattice on 2 generators is? I have a guess but I am not sure.
Is the poset of join-irreducible elements of the free modular lattice on 3 generators a special poset? Does it have a name?Fri, 24 Jul 2020 23:17:56 +0200https://ask.sagemath.org/question/52657/free-modular-lattice-on-3-generators-in-sage/Comment by FrédéricC for <p>Is there an easy/quick way to obtain the free modular lattice on 3 generators in Sage (it has 28 elements)?
I searched a bit but was not able to find a good way.
See <a href="https://blogs.ams.org/visualinsight/2016/01/01/free-modular-lattice-on-3-generators/">https://blogs.ams.org/visualinsight/2...</a> for the definition/visualization.</p>
<p>By the way, is there a reference for what the free modular lattice on 2 generators is? I have a guess but I am not sure.
Is the poset of join-irreducible elements of the free modular lattice on 3 generators a special poset? Does it have a name?</p>
https://ask.sagemath.org/question/52657/free-modular-lattice-on-3-generators-in-sage/?comment=53197#post-id-53197Well, you could just use the picture, number the vertices and enter the poset by hand.Thu, 27 Aug 2020 12:03:07 +0200https://ask.sagemath.org/question/52657/free-modular-lattice-on-3-generators-in-sage/?comment=53197#post-id-53197