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- W2017108713 abstract "The class of cellularly stratified algebras is defined and shown to include large classes of diagram algebras. While the definition is in combinatorial terms, by adding extra structure to Graham and Lehrer’s definition of cellular algebras, various structural properties are established in terms of exact functors and stratifications of derived categories. The stratifications relate ‘large’ algebras such as Brauer algebras to ‘smaller’ ones such as group algebras of symmetric groups. Among the applications are relative equivalences of categories extending those found by Hemmer and Nakano and by Hartmann and Paget, as well as identities between decomposition numbers and cohomology groups of ‘large’ and ‘small’ algebras." @default.
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- W2017108713 date "2009-12-02" @default.
- W2017108713 modified "2023-10-15" @default.
- W2017108713 title "Cohomological stratification of diagram algebras" @default.
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- W2017108713 doi "https://doi.org/10.1007/s00208-009-0458-x" @default.
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