Timeline for Algebraic axiomatization for AB+BA^T operation on matrices
Current License: CC BY-SA 4.0
12 events
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| Feb 27, 2023 at 15:32 | history | edited | darij grinberg | CC BY-SA 4.0 |
maybe an edit will fix the kitty bug
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| Oct 30, 2011 at 23:13 | answer | added | Vladimir Dotsenko | timeline score: 3 | |
| Oct 30, 2011 at 17:24 | answer | added | Pasha Zusmanovich | timeline score: 1 | |
| Oct 19, 2011 at 17:56 | history | edited | probably | CC BY-SA 3.0 |
major update; edited tags
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| Aug 8, 2011 at 18:18 | answer | added | Pasha Zusmanovich | timeline score: 2 | |
| Jul 25, 2011 at 17:59 | comment | added | Suvrit | Here's a random junk idea: we work with halves throughout. Define $f(a,b) = 0.5[a,b]+ 0.5(ab+ba)$, and define $f^T$ to be the half-transpose $0.5[b,a^T]+0.5(ba^T+a^Tb)$. Then, $a\square b = 0.5(f + f^T)$. | |
| Jul 25, 2011 at 0:08 | history | edited | probably | CC BY-SA 3.0 |
added 2 characters in body
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| Jul 24, 2011 at 19:45 | history | edited | probably |
edited tags
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| Jul 24, 2011 at 19:36 | comment | added | probably | No, i do not consider the transpose as a separate operation in that variety of algebras. Also i can accept an axiomatisation that is not exact, but give rise to some interesting class. Like "if you see an anticommutator then think on Jordan algebras". | |
| Jul 24, 2011 at 19:21 | comment | added | Qiaochu Yuan | Do you also want to consider the transpose in this axiomatization? (Also, it's not clear to me that Jordan algebras are the correct axiomatization of the anticommutator: it's known that exceptional Jordan algebras exist which aren't embeddable into matrix Jordan algebras.) | |
| Jul 24, 2011 at 19:06 | history | edited | probably | CC BY-SA 3.0 |
edited title
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| Jul 24, 2011 at 19:00 | history | asked | probably | CC BY-SA 3.0 |