quasicentroid
nounEtymology From quasi- + centroid.
1
Mathematics, Sciences Empty gloss, No gloss (mathematics)
- The main results are: for all 3-Lie algebra A, 1) the generalized derivation algebra GDer(A) is the sum of quasiderivation algebra QDer(A) and quasicentroid Q#92;Gamma(A); 2) quasiderivations of A can be embedded as derivations in a larger algebra; 3) quasiderivation algebra QDer(A) normalizer quasicentroid, that is, #91;QDer(A),Q#92;Gamma(A)#93;#92;subseteqQ#92;Gamma(A); 4) if A contains a maximal diagonalized tours T, then QDer(A) and Q#92;Gamma(A) are diagonalized T-modules, that is, as T-modules, (T,T) semi-simplely acts on QDer(A) and Q#92;Gamma(A), respectively..2016, Ruipu Bai, Qiyong Li, Kai Zhang, “Generalized derivations of 3-Lie algebras”, in arXiv: