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Given a general finite group $G$, we consider several categories built on it, their Grothendieck topologies and resulting sheaf categories. We give an intrinsic new proof to the equivalence of… Click to show full abstract
Given a general finite group $G$, we consider several categories built on it, their Grothendieck topologies and resulting sheaf categories. We give an intrinsic new proof to the equivalence of M. Artin between the category of sheaves on the orbit category and that of group representations. We also show that the category of group representations is embedded into a sheaf category on the transporter category.
Keywords:
finite group;
group;
group representations;
sheaves finite;
category
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2022
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!