References
- Gorbatsevich V. On contractions and degeneracy of finite-dimensional algebras. Soviet Math (Iz VUZ). 1991;35(10):17–24.
- Khudoyberdiyev A, Omirov B. The classification of algebras of level one. Linear Algebra Appl. 2013;439(11):3460–3463.
- Ivanova NM, Pallikaros CA. On degenerations of algebras over an arbitrary field. AGTA. 2019;7:39–83.
- Gorbatsevich V. Anticommutative finite-dimensional algebras of the first three levels of complexity. St Petersburg Math J. 1994;5:505–521.
- Francese J, Khudoyberdiyev A, Rennier B, et al. Classification of algebras of level two in the variety of nilpotent algebras and Leibniz algebras. J Geom Phys. 2018;134:142–152.
- Khudoyberdiyev A. The classification of algebras of level two. J Geom Phys. 2015;98:13–20.
- Kaygorodov I, Volkov Yu. Complete classification of algebras of level two. Moscow Math J. 2019;19(3):485–521.
- Kaygorodov I, Volkov Yu. The variety of 2-dimensional algebras over an algebraically closed field. Canad J Math. 2019;71(4):819–842.
- Kaygorodov I, Popov Yu, Volkov Yu. Degenerations of binary Lie and nilpotent Malcev algebras. Comm Algebra. 2018;46(11):4929–4941.
- Seeley C. Degenerations of 6-dimensional nilpotent Lie algebras over C. Comm Algebra. 1990;18:3493–3505.
- Inönü E, Wigner EP. On the contraction of groups and their representations. Proc Natl Acad Sci USA. 1953;39:510–524.
- Kuz'min EN. On anticommutative algebras satisfying the Engel condition. Sib Math J. 1967;8(5):779–785.
- Koreshkov NA, Haritonov DU. About nilpotency of Engel algebras. Russ Math. 2001;45(11):15–18.
- Bovdi V, Gerasimova T, Salim M, et al. Reduction of a pair of skew-symmetric matrices to its canonical form under congruence. Linear Algebra Appl. 2018;543:17–30.
- Gantmacher FR. The theory of matrices. Vol. 2. Providence (RI): AMS Chelsea Publishing; 1998.
- Scharlau R. Paare alternierender Formen. Math Z. 1976;147:13–19.
- Waterhouse W. Pairs of symmetric bilinear forms in characteristic 2. Pacific J Math. 1977;69(1):275–283.
- Dmytryshyn A, Kågström B. Orbit closure hierarchies of skew-symmetric matrix pencils. SIAM J Matrix Anal Appl. 2014;35:1429–1443.