Support τ-tilting modules are in bijection with two-term tilting complexes for any finite-dimensional symmetric algebra. This fact motivates us to classify support τ-tilting modules over blocks of finite groups. We classify support τ-tilting modules over particular blocks of finite groups using modular representation theoretical approaches including Clifford theory and Green's indecomposability theorem.

中文翻译：

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在支持τ倾斜模块的模块上覆盖循环块

对于任何有限维对称代数，支持τ倾斜模块都具有两项倾斜复合物的双射。这一事实促使我们对有限组块上的支持τ倾斜模块进行分类。我们使用包括Clifford理论和Green的不可分解定理在内的模块化表示理论方法，对有限群的特定块上的τ倾斜模块进行分类。