Geodesic
On Jordan structure of nilpotent matrices from Lie algebra $\mathfrak{so}(N,\mathbb{C})$
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 79-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Jordan structure of matrices of the Lie algebra of a complex orthogonal group, nilpotent case, is considered. These matrices have an arbitrarily complicated Jordan structure, under the known condition that the number of Jordan blocks of even size is even. A normal form for such matrices is proposed. Gram matrices of Jordan chains are described. 
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     author = {M. V. Babich},
     title = {On {Jordan} structure of nilpotent matrices from {Lie} algebra $\mathfrak{so}(N,\mathbb{C})$},
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M. V. Babich. On Jordan structure of nilpotent matrices from Lie algebra $\mathfrak{so}(N,\mathbb{C})$. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXV, Tome 528 (2023), pp. 79-90. http://geodesic.mathdoc.fr/item/ZNSL_2023_528_a4/

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