论文标题

克莱琳4环的表示和同谋

Representations and cohomologies of Kleinian 4-rings

论文作者

Drozd, Yuriy A.

论文摘要

我们在离散的估值环(称为Kleinian 4环)上引入了一类新的代数,该戒指概括了克莱琳4组的组代数。对于这些代数,我们描述了晶格及其协同组。在常规晶格的情况下,我们获得了定义共同体类别的明确形式。

We introduce a new class of algebras over discrete valuation rings, called Kleinian 4-rings, which generalize the group algebra of the Kleinian 4-group. For these algebras we describe the lattices and their cohomologies. In the case of regular lattices we obtain an explicit form of cocycles defining the cohomology classes.

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