Geodesic
Coadjoint orbits of the group~$\operatorname{UT}(7,K)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 5, pp. 127-159

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We classify the irreducible representations and the coadjoint orbits of a unitriangular group of size less than or equal to seven. We classify the subregular orbits of a unitriangular group of arbitrary size. 
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     title = {Coadjoint orbits of the group~$\operatorname{UT}(7,K)$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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M. V. Ignat'ev; A. N. Panov. Coadjoint orbits of the group~$\operatorname{UT}(7,K)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 5, pp. 127-159. http://geodesic.mathdoc.fr/item/FPM_2007_13_5_a4/