1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
The complete classification of irreducible components of varieties of Jordan superalgebras
Renato Fehlberg Júnior, Ivan Kaygorodov, Azamat Saydaliyev
The aim of the present short note is to answer the open questions posted by Hernández, Martin, and Rodrigues in {\rm \cite{p1,p2}}. The obtained results give the complete classific…
The algebraic and geometric classification of Jordan superalgebras
Kobiljon Abdurasulov, Roman Lubkov, Azamat Saydaliyev
We give the algebraic and geometric classification of complex four-dimensional Jordan superalgebras. In particular, we describe all irreducible components in the corresponding vari…
Transposed Poisson structures on quasi-filiform Lie algebras of maximum length
Kobiljon Abdurasulov, Fatanah Deraman, Azamat Saydaliyev +1
This article will discussing on -derivations of quasi-filiform Lie algebras of maximum length. The non-trivial transposed Poisson algebras with the quasi-filiform Lie…