论文标题

非级汉密尔顿$ h(2;(1,1);φ(1))$的限制不可约的表示形式

Restricted Irreducible Representations for the Non-graded Hamiltonian $H(2; (1,1); Φ(1))$

论文作者

Guerra, Horacio

论文摘要

我们将最低限制的$ p $ thevelope的简单限制模块分类为非代数封闭的特征性$ p \ egeq 5 $的非级,非限制的哈密顿式Lie代数$ h(2;(1,1);φ(1))$。我们还将这些模块的限制限制为第一个WITT代数的亚代词同构,结果在[S. S. Herpel和D. Stewart,\ Emph {Selecta Mathematica} 22:2(2016)765--799],有不完整的证明。

We classify the simple restricted modules for the minimal $p$-envelope of the non-graded, non-restricted Hamiltonian Lie algebra $H(2; (1,1); Φ(1))$ over an algebraically closed field $k$ of characteristic $p \geq 5$. We also give the restrictions of these modules to a subalgebra isomorphic to the first Witt Algebra, a result stated in [S. Herpel and D. Stewart, \emph{Selecta Mathematica} 22:2 (2016) 765--799] with an incomplete proof.

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