The objective of this paper is to determine the finite-dimensional, indecomposable representations of the algebra that is generated by two complex structures over the real numbers. Since the generators satisfy relations that are similar to those of the infinite dihedral group, we give the algebra the name iD∞.

中文翻译：

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一对复结构生成代数的表示论

本文的目的是确定由实数上的两个复结构生成的代数的有限维、不可分解的表示。由于生成元满足与无限二面体群相似的关系，我们将代数命名为一世D∞.