지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
(Multiplicative) Hom-Lie-Yamaguti superalgebras are defined as a $\mathbb{Z}_2$-graded generalization of Hom-Lie Yamaguti algebras and also as a twisted generalization of Lie-Yamaguti superalgebras. Hom-Lie-Yamaguti superalgebras generalize also Hom-Lie supertriple systems (and subsequently ternary multiplicative Hom-Nambu superalgebras) and Hom-Lie superalgebras in the same way as Lie-Yamaguti superalgebras generalize Lie supertriple systems and Lie superalgebras. Hom-Lie-Yamaguti superalgebras are obtained from Lie-Yamaguti superalgebras by twisting along superalgebra even endomorphisms. We show that the category of (multiplicative) Hom-Lie-Yamaguti superalgebras is closed under twisting by self-morphisms. Constructions of some examples of Hom-Lie-Yamaguti superalgebras are given. The notion of an $nth$ derived (binary) Hom-superalgebras is extended to the one of an $nth$ derived binary-ternary Hom-superalgebras and it is shown that the category of Hom-Lie-Yamaguti superalgebras is closed under the process of taking $nth$ derived Hom-superalgebras.
목차
등록된 정보가 없습니다.
참고문헌 (22)
참고문헌 신청
K. Abdaoui / 2010 / Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras / Journal of algebra 324(7):1513~1528
K. Abdaoui / 2013 / Hom-alternative, Hom-Malcev and Hom-Jordan Superalgebras / arXiv: 1304.1579v1
H. Albuquerque / 1996 / Classification of Mal'tsev Superalgebras of small dimensions / Algebra and Logic 35(6):512~554
H. Ataguema / 2009 / Generalization of n-ary Nambu algebras and beyond / J. Math. Phys 50:083501
S. Attan / 2013 / Hom-Bol algebras / Quasigroups and related Sys-tems 21:131~146
K. Abdaoui / 2013 / Hom-alternative, Hom-Malcev and Hom-Jordan Superalgebras / arXiv: 1304.1579v1
H. Albuquerque / 1996 / Classification of Mal'tsev Superalgebras of small dimensions / Algebra and Logic 35(6):512~554
H. Ataguema / 2009 / Generalization of n-ary Nambu algebras and beyond / J. Math. Phys 50:083501
S. Attan / 2013 / Hom-Bol algebras / Quasigroups and related Sys-tems 21:131~146
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A note on the finite-dimensional odd Contact superalgebra over a field of prime characteristic
대한수학회보
2021 .09
-
Cohomology and deformations of Hom-Lie-Yamaguti color algebras
한국수학논문집
2021 .01
-
On Hom-Lie triple systems and involutions of Hom-Lie algebras
한국수학논문집
2022 .06
-
3-Hom-Lie superbialgebras and 3-Hom-Lie classical Yang-Baxter equations
대한수학회논문집
2024 .01
-
Combinatorial supersymmetry: Supergroups, superquasigroups, and their multiplication groups
대한수학회지
2024 .01
-
Supermodules, supercomodules and twistings of finite-dimensional Hopf superalgebras
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
ORTHOGONAL PEXIDER HOM-DERIVATIONS IN BANACH ALGEBRAS
Nonlinear Functional Analysis and Applications
2023 .03
-
$\alpha$-type Hochschild cohomology of Hom-associative algebras and bialgebras
대한수학회지
2019 .01
-
보성 종합기상탑 관측자료를 활용한 하부경계층 연직 기상특성 분석 : 2015년 태풍 찬홈(CHAN-HOM) 사례
한국기상학회 학술대회 논문집
2016 .10
-
A Fixed Point Approach to the Stability of 3-Lie Homomorphisms and 3-Lie Derivations
순수 및 응용수학
2019 .01
-
ENGEL'S AND LIE'S THEOREMS FOR LIE ALGEBRA BUNDLES
Advanced Studies in Contemporary Mathematics
2021 .01
-
On the structure of factor Lie algebras
대한수학회보
2017 .01
-
More on neutrosophic Lie subalgebra
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2024 .04
-
Continuity conditions for locally bounded endomorphisms of linear Lie groups
Advanced Studies in Contemporary Mathematics
2023 .01
-
Classification of Solvable Lie groups whose non-trivial coadjoint orbits are of Codimension $1$
대한수학회논문집
2022 .10
-
The unitary characters on the radical of an almost connected Lie group that admit an extension to a one-dimensional bounded pseudorepresentations of the Lie group
Proceedings of the Jangjeon Mathematical Society
2024 .07
-
Continuity criteria for locally bounded endomorphisms of central extensions of perfect Lie groups
Proceedings of the Jangjeon Mathematical Society
2023 .04
-
On the structure of graded Lie triple systems
대한수학회보
2016 .01
-
Studying Solutions of a System of PDE Through Representations of D4
Kyungpook Mathematical Journal
2015 .01
-
A NEW APPROACH ON THE CURVATURE DEPENDENT ENERGY FOR ELASTIC CURVES IN A LIE GROUP
호남수학학술지
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0