Geodesic
On the classification of Lagrangian subalgebras in $\mathfrak{g}\times\mathfrak{g}$,
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 65-74 Cet article a éte moissonné depuis la source Math-Net.Ru

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An inductive approach to the classification of Lagrangian subalgebras in $\mathfrak{g}\times\mathfrak{g}$ up to the diagonal $\operatorname{Int}\mathfrak{g}$-action is proposed. Using this approach, the classification of Lagrangian subalgebras in $\mathfrak{g}\times\mathfrak{g}$, where $\mathfrak{g}=sl(n)$, $n\leq4$, is obtained. 
@article{JMAG_1997_4_1_a3,
     author = {E. A. Karolinsky},
     title = {On the classification of {Lagrangian} subalgebras in $\mathfrak{g}\times\mathfrak{g}$,},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {65--74},
     year = {1997},
     volume = {4},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a3/}
}
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E. A. Karolinsky. On the classification of Lagrangian subalgebras in $\mathfrak{g}\times\mathfrak{g}$,. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 65-74. http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a3/