曹 燕,劉文德
(1.哈爾濱理工大學(xué)榮成學(xué)院,山東榮成 264300;2.哈爾濱師范大學(xué)數(shù)學(xué)學(xué)院,黑龍江哈爾濱 150025)
奇Contact李超代數(shù)偶部到奇部的導(dǎo)子
曹 燕1,劉文德2
(1.哈爾濱理工大學(xué)榮成學(xué)院,山東榮成 264300;2.哈爾濱師范大學(xué)數(shù)學(xué)學(xué)院,黑龍江哈爾濱 150025)
在特征p>3的情況下,首先確定了奇Contact李超代數(shù)偶部的生成元集,然后通過計算方法確定了奇Contact李超代數(shù)偶部到奇部的-次數(shù)為-1,-2,-3的導(dǎo)子.
階化;奇Contact李超代數(shù);導(dǎo)子
由于一個李代數(shù)的導(dǎo)子完全被作用在其上的生成元決定,下面先給出奇Contact李代數(shù)的生成元.
引理2.1設(shè)R由M∪N∪P生成,其中:
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Derivations from the even parts into the odd parts for the odd Contact Lie superalgebra
CAO Yan1,LIU Wen-de2
(1.College of Rongcheng,Harbin University of Science and Technology,Rongcheng 264300,China;2.College of Mathematics,Harbin Normal University,Harbin 150025,China)
Suppose the underlying field is of characteristicp>3.The paper first gives the generators of the even parts of odd Contact Lie superalgebra,then uses the method of computing to determine derivations with-degree-1,-2 or-3 from the even part of the odd Contact Lie superalgebra into the odd part of the odd Contact Lie superalgebra.
gradation;odd Contact Lie superalgebra;derivation
O 152.5
110·21
A
1000-1832(2011)03-0005-05
2010-11-05
國家自然科學(xué)基金資助項目(10871057);黑龍江省自然科學(xué)基金資助項目(A200903).
曹燕(1981—),女,助教;通訊作者:劉文德(1965—),男,教授,博士研究生導(dǎo)師,主要從事李代數(shù)研究.
陶 理)