Thick subcategories of the stable module category
نویسندگان
چکیده
منابع مشابه
Decomposing Thick Subcategories of the Stable Module Category
Let mod kG be the stable category of finitely generated modular representations of a finite group G over a field k. We prove a Krull-Remak-Schmidt theorem for thick subcategories of mod kG. It is shown that every thick tensor-ideal C of mod kG (i.e. a thick subcategory which is a tensor ideal) has a (usually infinite) unique decomposition C = ∐ i∈I Ci into indecomposable thick tensor-ideals. Th...
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Various classification theorems of thick subcategories of a triangulated category have been obtained in many areas of mathematics. In this paper, as a higher dimensional version of the classification theorem of thick subcategories of the stable category of finitely generated representations of a finite p-group due to Benson, Carlson and Rickard, we consider classifying thick subcategories of th...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1997
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-153-1-59-80