Timeline for Simplicial complex made of central idempotents of an algebra
Current License: CC BY-SA 3.0
5 events
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| Apr 15, 2012 at 23:19 | comment | added | Benjamin Steinberg | If F is the face poset of a simplicial complex, then it is straightforward to verify the order complex of F is the barycentric subdivision. A vertex of the order complex is an element f of F which corresponds to the barycenter of f. It is easy to check under this correspondence chains are simplices of the barycentric subdivision. Try it out on a 2-simplex. | |
| Apr 15, 2012 at 16:51 | comment | added | Simon Lentner | GREAT, THANX, THAT HELPS! I've looked up "order complexes" and these indeed nice :-)...well, I didn't even fully "believe" I could just on/off central primitive idempotents, but embedding them into matrix rings certainly boosted my intuition (shame!) What is the argument/theory that descibes the complex then as a subdevided simplex? | |
| Apr 15, 2012 at 16:50 | vote | accept | Simon Lentner | ||
| Apr 12, 2012 at 13:17 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
added 497 characters in body
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| Apr 12, 2012 at 12:47 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 |