Timeline for How is the free modular lattice on 3 generators related to 8-dimensional space?
Current License: CC BY-SA 3.0
9 events
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Sep 27, 2015 at 2:35 | answer | added | John Baez | timeline score: 6 | |
Sep 26, 2015 at 0:02 | answer | added | user3570843 | timeline score: 8 | |
Sep 21, 2015 at 7:13 | comment | added | David Roberts♦ | I have nothing to add, but thanks for linking to Dedekind's original paper! | |
Sep 20, 2015 at 10:43 | comment | added | Benjamin Steinberg | Did you look at the papers by Gelfand and Pomonarov referred to in this paper core.ac.uk/download/pdf/15973199.pdf? They seem from the titles to be going down the road you are | |
Sep 20, 2015 at 0:24 | history | edited | John Baez | CC BY-SA 3.0 |
added link to n-Cafe
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Sep 19, 2015 at 23:18 | comment | added | Todd Trimble | Related to Hugh Thomas's post below, if I am not mistaken, the intersection of the three subspaces $X, Y, Z$ found by Dedekind is already the zero vector space, and their join is the full 8-dimensional space, so the top and bottom nodes of the Hasse diagram above aren't actually represented in that linear representation. (Also, there is the semi-obvious fact that the rank function of the lattice corresponds to linear dimension; if you lop off the top and bottom, then the dimensions start at 0 and end at 8.) | |
Sep 19, 2015 at 21:37 | answer | added | Hugh Thomas | timeline score: 6 | |
Sep 19, 2015 at 21:27 | history | edited | John Baez | CC BY-SA 3.0 |
added 43 characters in body
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Sep 19, 2015 at 17:33 | history | asked | John Baez | CC BY-SA 3.0 |