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The purpose of this chapter is to verify Broué abelian defect conjecture (see Subsection B.2.2). In the case of nonprincipal blocks (which all have abelian defect groups), the equivalences of categories predicted by Broué conjecture are always Morita equivalences (see Sections 8.1 and 8.2).

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Equivalences of Categories

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  • 发表日期：

    2026年

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  • Cédric Bonnafé

摘要

The purpose of this chapter is to verify Broué abelian defect conjecture (see Subsection B.2.2). In the case of nonprincipal blocks (which all have abelian defect groups), the equivalences of categories predicted by Broué conjecture are always Morita equivalences (see Sections 8.1 and 8.2).