Timeline for Can we write $sl(4,\mathbb{C})$ as the vector space sum of two copies of $sl(3,\mathbb{C})$? [closed]
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Oct 18, 2019 at 9:59 | history | closed |
LeechLattice YCor David Handelman Mark Wildon abx |
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Oct 18, 2019 at 9:01 | answer | added | Dietrich Burde | timeline score: 2 | |
Oct 10, 2019 at 16:50 | review | Close votes | |||
Oct 18, 2019 at 10:00 | |||||
Oct 10, 2019 at 15:40 | comment | added | YCor | No. Up to conjugation, a copy of $sl_3$ in $sl_4$ is (the derived subalgebra of) the stabilizer of a $3+1$ decomposition $H\oplus L$. The intersection of any two such stabilizers contains a copy of $sl_2$. Hence the sum has dimension $\le 8+8-3=13$. | |
Oct 10, 2019 at 15:31 | history | asked | Zhaoting Wei | CC BY-SA 4.0 |