Results 1 to 10 of about 32 (32)
On split regular BiHom-Poisson color algebras
Open Mathematics, 2021 The purpose of this paper is to introduce the class of split regular BiHom-Poisson color algebras, which can be considered as the natural extension of split regular BiHom-Poisson algebras and of split regular Poisson color algebras. Using the property of
Tao Yaling, Cao Yan
doaj +1 more source
On split twisted inner derivation triple systems with no restrictions on their 0-root spaces
Open Mathematics, 2022 The aim of this paper is to study the structure of arbitrary split twisted inner derivation triple systems. We obtain a sufficient condition for the decomposition of arbitrary twisted inner derivation triple system T{\mathscr{T}} which is of the form T=U+
Cao Yan, Luo Fang
doaj +1 more source
On split involutive regular BiHom-Lie superalgebras
Open Mathematics, 2020 The goal of this paper is to examine the structure of split involutive regular BiHom-Lie superalgebras, which can be viewed as the natural generalization of split involutive regular Hom-Lie algebras and split regular BiHom-Lie superalgebras.
Guo Shuangjian +2 more
doaj +1 more source
Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields
Open Mathematics, 2017 According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields.
Sun Liping, Liu Wende
doaj +1 more source
On split Lie color triple systems
Open Mathematics, 2019 In order to begin an approach to the structure of arbitrary Lie color triple systems, (with no restrictions neither on the dimension nor on the base field), we introduce the class of split Lie color triple systems as the natural generalization of split ...
Cao Yan, Zhang Jian, Cui Yunan
doaj +1 more source
Graded Lie superalgebras, supertrace formula,and orbit Lie superalgebras
, 2000 Let be a countable abelian semigroup and A be a countable abelian group satisfying a certain finiteness condition. Suppose that a group G acts on a x A-graded Lie superalgebra L = (, a) x A L(, a) by Lie superalgebra automorphisms preserving the x A ...
Kwon, Jae-Hoon, Kang, Seok-Jin
core +1 more source
Superelliptic Affine Lie algebras and orthogonal polynomials
Forum of Mathematics, SigmaWe construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth-order linear differential equations, and one of the families is a particular ...
Felipe Albino dos Santos +2 more
doaj +1 more source
The Quantitative Kurosh Problem
Forum of Mathematics, SigmaWe prove a strong quantitative version of the Kurosh Problem, which has been conjectured by Zelmanov, up to a mild polynomial error factor, thereby extending all previously known growth rates of algebraic algebras.
Be’eri Greenfeld
doaj +1 more source
Higher-Dimensional Automorphic Lie Algebras. [PDF]
Found Comut Math, 2017 Knibbeler V, Lombardo S, Sanders JA.
europepmc +1 more source