canonical torus;
derivation space;
first cohomology group;
D O I:
暂无
中图分类号:
O153 [抽象代数(近世代数)];
学科分类号:
070104 ;
摘要:
In this paper we mainly study the derivations for even part of the finite-dimensional oddHamiltonian superalgebra HO over a field of prime characteristic.We first give the generating set of theeven part g of HO.Then we compute the derivations from g into the even part (?) of the generalizedWitt superalgebra.Finally,we determine the derivation algebra and outer derivation algebra of gand the dimension formulas.In particular,the first cohomology groups H~1 (g;(?)) and H~1(g;g) aredetermined.
机构:
Univ Claude Bernard Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, FranceUniv Claude Bernard Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France