奇Hamilton超代数的自同构群

Automorphism Groups of Odd Hamiltonian Superalgebras

设HO是特征p>3域上的有限维限制奇Hamilton超代数.刻画了HO的自同构群标准正规列的商列,给出了HO的自同构群标准正规列的商列与李超代数HO的Z-阶化项做为加法群之间的同构关系.

Let HO be any finite-dimensional restricted odd Hamiltonal superalgebra over a field of characteristic p>3.In this paper,the factor series of the standard normal series of the automorphism group of HO are studied.An isomorphic relation between the quotients of the standard normal series of the automorphism group of HO and the Z-graded components of HO as additive groups is given.