CAJ | 학술논문

F是特征大于3的基域,参数n>3,m>2,并且n是偶数,m是奇数.K,K,W和W(1)分别表示接触李超代数K(m,n;(t))及其偶部和模李超代数W(m,n;(t))及其奇部,利用接触李超代数W(m,n;(t))偶部的生成元集,通过计算导子在其生成元集上的作用的方法,确定了接触李超代数W(m,n;(t))偶部到奇部的Z-次数小于-3的导子,于是接触李超代数K(m,n;(t))偶部到奇部的所有具有负Z-次数的导子得以刻画.
F시특정대우3적기역,삼수n>3,m>2,병차n시우수,m시기수.K,K,W화W(1)분별표시접촉리초대수K(m,n;(t))급기우부화모리초대수W(m,n;(t))급기기부,이용접촉리초대수W(m,n;(t))우부적생성원집,통과계산도자재기생성원집상적작용적방법,학정료접촉리초대수W(m,n;(t))우부도기부적Z-차수소우-3적도자,우시접촉리초대수K(m,n;(t))우부도기부적소유구유부Z-차수적도자득이각화.
The ground field F is assumed of characteristic p > 3. The parameters n > 3, m > 2, and n is even, m is odd. Let K,K, W and W(1) denote the Contact Lie superalgebra K(m,n;(t)) and its even part, the modular Lie super-algebra W(m,n;(t)) and its odd part respectively. Using the generating set of the even part of Contact Lie superalge-bra K(m, n ;(t)), by means of calculating action of derivation on its generating set, derivations with Z -degrees less than-3 of the even part into the odd part for the Contact Lie superalgebra K(m,n;(t)) is determined and then all the derivations with negative Z -degrees of the even part into the odd part for the Contact Lie superalgebra K(m, n; (t)) are determined.