3 citations · 8 across the 23 of their papers we have counts for
25 papers
The algebraic and geometric classification of post--Lie algebras
Hani Abdelwahab, Kobiljon Abdurasulov, Ivan Kaygorodov
A post--Lie algebra is a -Lie algebra with an additional ternary multiplication, skew-symmetric in the first two arguments, related to the bracket by four compatibility ident…
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…
Unital -dimensional structurable algebras: classification, properties and -construction
Kobiljon Abdurasulov, Maqpal Eraliyeva, Ivan Kaygorodov
This paper is devoted to the classification and studying properties of complex unital -dimensional structurable algebras. We provide a complete list of non-isomorphic classes, i…
-matching and interchangeable structures on truncated polynomial algebras
Kobiljon Abdurasulov, Jobir Adashev, Feruza Toshtemirova
We describe -matching, interchangeable and, as a consequence, totally compatible products on truncated polynomial algebras.
The algebraic and geometric classification of commutative post-Lie algebras
Hani Abdelwahab, Kobiljon Abdurasulov, Ivan Kaygorodov
We study commutative post-Lie algebras {\rm CPA}s from an algebraic point of view. Firstly, we find some new identities in {\rm CPA}, which shows that the commutative multipl…
The geometric classification of nilpotent Lie-Yamaguti, Bol and compatible Lie algebras
Kobiljon Abdurasulov, Abror Khudoyberdiyev, Feruza Toshtemirova
The geometric classifications of complex -dimensional nilpotent Lie-Yamaguti algebras, -dimensional nilpotent Bol algebras, and -dimensional nilpotent compatible Lie algeb…