Geodesic
Structure of groups of nonlinear automorphisms for $(3,3)$ quadrics
Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 164-173.

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We study the group of nonlinear automorphisms for $(k,n)$ quadrics. We prove that this group is nilpotent and describe the multiplication law for this group in terms of the corresponding Lie algebra. For nonlinear automorphisms of $(3,3)$ quadrics, explicit formulas are obtained. 
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A. F. Arbatskii. Structure of groups of nonlinear automorphisms for $(3,3)$ quadrics. Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 164-173. http://geodesic.mathdoc.fr/item/MZM_1996_59_2_a1/

[1] Shabat B. V., Vvedenie v kompleksnyi analiz, Ch. II, Nauka, M., 1985

[2] Beloshapka V. K., “O golomorfnykh preobrazovaniyakh kvadriki”, Matem. sb., 182:2 (1991), 203–219 | Zbl

[3] Kirillov A. A., Elementy teorii predstavlenii, Nauka, M., 1978 | Zbl

[4] Dzhekobson N., Algebry Li, Mir, M., 1964

[5] Poincaré H., “Les fonctions analytiques de deux variables et la représentation conforme”, Rend. Circ. Math. Palermo, 1907, 185–220 | DOI

[6] Ežov V. V., Schmalz G., “Holomorphic automorphisms of quadrics”, Math. Z., 216 (1994), 453–470 | DOI | MR