Cohomologies and generalized derivations of n-Lie algebras
Yükleniyor...
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Electronic Journals Project
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner generalized derivations as 1-coboundaries.
Açıklama
The authors acknowledge the support by TUBITAK (the Scientific and Technological Research Council of Turkey) through the project "Matched pairs of Lagrangian and Hamiltonian Systems" with the project number 117F426.
Anahtar Kelimeler
n-Lie algebra, Leibniz algebra, Leibniz algebras, Generalized derivation, Nambu, Extensions
Kaynak
New York Journal of Mathematics
WoS Q Değeri
Q3
Q3
Q3
Scopus Q Değeri
Cilt
28
Sayı
Künye
Ateşli, B., Esen, O. & Sütlü, S. (2022). Cohomologies and generalized derivations of n-Lie algebras. New York Journal of Mathematics, 28, 1637-1655.
