On restricted simple modules of contact Lie superalgebras of odd type

On restricted simple modules of contact Lie superalgebras of odd type
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DOI:
10.1002/mana.201600478
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发表时间:
2017-06
影响因子:
1
通讯作者:
Wende Liu;Shujuan Wang;Jixia Yuan
Wende Liu;Shujuan Wang;Jixia Yuan
中科院分区:
数学3区
文献类型:
--
作者:
Wende Liu;Shujuan Wang;Jixia Yuan

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对于特征p>3的代数闭域上的奇型切触李超代数,给出了Kac模的合成因子和所有限制单模的特征公式.并精确计算了限制超模范畴中单模的维数,从而给出了所有限制单模的维数。
For contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3 , the composition factors of Kac modules and the character formulas for all the restricted simple modules are explicitly determined. And the dimensions of simple modules in the restricted supermodule category are precisely calculated, thereby dimensions of all the restricted simple modules are given.