آمار

تعداد نشریات27
تعداد شماره‌ها366
تعداد مقالات3,243
تعداد مشاهده مقاله4,753,942
تعداد دریافت فایل اصل مقاله3,244,797
Peyghan, Esmaeil, Nourmohammadifar, Leila. (1401). Para-Kähler hom-Lie algebras of dimension 2. سامانه مدیریت نشریات علمی, 3(2), 119-138. doi: 10.22098/jfga.2022.11916.1079
Esmaeil Peyghan; Leila Nourmohammadifar. "Para-Kähler hom-Lie algebras of dimension 2". سامانه مدیریت نشریات علمی, 3, 2, 1401, 119-138. doi: 10.22098/jfga.2022.11916.1079
Peyghan, Esmaeil, Nourmohammadifar, Leila. (1401). 'Para-Kähler hom-Lie algebras of dimension 2', سامانه مدیریت نشریات علمی, 3(2), pp. 119-138. doi: 10.22098/jfga.2022.11916.1079
Peyghan, Esmaeil, Nourmohammadifar, Leila. Para-Kähler hom-Lie algebras of dimension 2. سامانه مدیریت نشریات علمی, 1401; 3(2): 119-138. doi: 10.22098/jfga.2022.11916.1079

Para-Kähler hom-Lie algebras of dimension 2

Journal of Finsler Geometry and its Applications
دوره 3، شماره 2، اسفند 2022، صفحه 119-138    اصل مقاله (112.02 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.11916.1079
نویسندگان
Esmaeil Peyghan* 1؛ Leila Nourmohammadifar2
1Department of Mathematics, Faculty of Science, Arak university, Arak, Iran
2Department of Mathematics, Faculty of Science, Arak University Arak, 38156-8-8349, Iran.
چکیده
In [12], authors introduced some geometric concepts such as (almost) product, para-complex, para-Hermitian and para-Kähler structures for hom-Lie algebras and they presented an example of a 4-dimensional hom-Lie algebra, which contains these concepts. In this paper, we classify two-dimensional hom-Lie algebras containing these structures. In particular, we show that there doesn't exist para-Kahler proper hom-Lie algebra of dimension 2.
کلیدواژه‌ها
Almost para-Hermitian structure؛ hom-Levi-Civita product؛ para- Kähler hom-Lie algebra
مراجع
  • 1. F. Ammar, Z. Ejbehi and A. Makhlouf, Cohomology and deformations of Hom-algebras,
    J. Lie Theory, 21(4) (2011), 813-836.
  • 2. A. Andrada, Complex product structures on 6-dimensional nilpotent Lie algebras, Forum
    Mathematicum, 20(2) (2008), 285-315.
  • 3. A. Andrada, M.L. Barberis and I. Dotti, Classification of abelian complex structures on
    6-dimensional Lie algebras, J. London Math. Soc., 83 (2011), 232-255.
  • 4. A. Andrada, M.L. Barberis and I. Dotti, Abelian Hermitian geometry, Diff. Geom. Appl.,
    30(5) (2012), 509-519.
  • 5. S. Benayadi, M. Boucetta On para-K¨ahler and hyper-para-K¨ahler Lie algebras, J. Algebra, 436 (2015), 61-101.
  • 6. G. Calvaruso and A. Fino, Five-dimensional K-contact Lie algebras, Monatshefte f¨ur
    Mathematik, 167(1) (2012), 35-59.
  • 7. Y. Cheng and Y. Su, (Co)homology and universal central extension of Hom-Leibniz
    algebras, Acta Math. Sin. (Engl. Ser.), 27(5) (2011), 813-830.
  • 8. J. Hartwig, D. Larsson and S. Silvestrov, Deformations of Lie algebras using σderivations, J. Algebra, 295 (2006), 314-361.
  • 9. N. Hu, q-Witt algebras, q-Lie algebras, q-holomorph structure and representations, Algebra Colloq., 6(1) (1999), 51-70.
  • 10. S. Ivanov, S, Zamkovoy, Parahermitian and paraquaternionic manifolds, Differl. Geom.
    Appl., 23(2) (2005), 205-234.
  • 11. D. Larsson and S. Silvestrov, Quasi-hom-Lie algebras, central extensions and 2-cocyclelike identities, J. Algebra, 288 (2005), 321-344.
  • 12. E. Peyghan and L. Nourmohammadifar, Para-K¨ahler hom-Lie algebras, Journal of Algebra and Its Applications, 18(3) (2019), 1950044.
  • 13. Y. Sheng, Representations of hom-Lie algebras, Algebr. Represent. Theor., 15 (2012),
    1081-1098.
  • 14. Y. Sheng and C. Bai, A new approach to hom-Lie bialgebras, J. Algebra, 399 (2014),
    232-250.
  • 15. D. Yau, Hom-algebras and homology, J. Lie Theory, 19 (2009), 409-421.
آمار
تعداد مشاهده مقاله: 136
تعداد دریافت فایل اصل مقاله: 188


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب