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Degenerations of Jordan algebras
Victor Bovdi, Ivan Kaygorodov, Yury Popov +2
We describe all degenerations of complex -dimensional Jordan algebras and of complex -dimensional nilpotent Jordan algebras. The proofs do not use other papers on degeneratio…
The geometric classification of Novikov-Poisson and Gelfand-Dorfman algebras
Zeyu Hao, Ivan Kaygorodov, Azamat Saydaliyev +1
We give the geometric classification of complex 3-dimensional Novikov-Poisson and Gelfand-Dorfman algebras. In particular, we prove that the variety of complex 3-dimensional Noviko…
The geometric classification of left-symmetric algebras and superalgebras
Kobiljon Abdurasulov, Nigora Daukeyeva, Azamat Saydaliyev
We investigate the geometric classification of complex left-symmetric algebras and left-symmetric superalgebras in low dimensions. Building on the algebraic classifications of Bai…