Cartan invariants for Witt Lie superalgebras with $ p $-characters of height at most one

Cartan invariants for Witt Lie superalgebras with $ p $-characters of height at most one
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维特李超代数的嘉当不变量,$p$-高度最多为 1 的字符

DOI:
10.1007/s10468-020-09947-z
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发表时间:
--
影响因子:
0.6
通讯作者:
Xun Xie
Xun Xie
中科院分区:
数学4区
文献类型:
--
作者:
Feifei Duan;Xun Xie

文献摘要

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研究了Witt型李超代数G的约化包络超代数Uχ(G)的投射模,给出了Uχ(G)的Cartan不变量的一个公式,证明了Uχ(G)只有一个块.
We investigate projective modules of the reduced enveloping superalgebra Uχ (g) of the Lie superalgebra g of Witt type with p-character χ of height at most one.We give a formula for the Cartan invariants of Uχ (g) which implies that Uχ (g) has only one block.