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.Sun, 12 Dec 2021 15:35:07 +0100Find certain subposets of latticeshttps://ask.sagemath.org/question/60222/find-certain-subposets-of-lattices/Let L be a given finite distributive lattice. I wonder whether there is a quick method to obtain the list of all subposets P of L having the following properties:
a) P is not a lattice.
b) L is the smallest lattice that contains P.
c) P is bounded (meaning it has a unique global maximum and a unique global minimum).
Thank you for any help.
example: The distributive lattice L of alternating sign matrices contains the strong Bruhat order P of the symmetric group in that way.Sun, 12 Dec 2021 15:35:07 +0100https://ask.sagemath.org/question/60222/find-certain-subposets-of-lattices/