标题： 限制扭曲Heisenberg李代数的上同调 显示英文标题

标题： Cohomology of Restricted Twisted Heisenberg Lie Algebras

摘要： 在特征p>0的代数闭域F上，研究了受限扭曲Heisenberg李代数。 我们利用其Heisenberg理想的相关Hochschild-Serre谱序列来计算平凡上同调。 使用普通的1-和2-上同调空间来计算受限的1-和2-上同调空间，并描述受限的一维中心扩张，包括李括号和[p]-算子的显式公式。 显示英文摘要

摘要： Over an algebraically closed ffeld F of characteristic p>0, the restricted twisted Heisenberg Lie algebras are studied. We use the Hochschild-Serre spectral sequence relative to its Heisenberg ideal to compute the trivial cohomology. The ordinary 1- and 2-cohomology spaces are used to compute the restricted 1- and 2-cohomology spaces and describe the restricted 1-dimensional central extensions, including explicit formulas for the Lie brackets and [p]-operators.