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• W2963242511 abstract "We determine all values of the parameters for which the cell modules form a standard system, for a class of cellular diagram algebras including partition, Brauer, walled Brauer, Temperley–Lieb and Jones algebras. For this, we develop and apply a general theory of finite dimensional algebras with Borelic pairs. The theory is also applied to give new uniform proofs of the cellular and quasi-hereditary properties of the diagram algebras and to construct quasi-hereditary 1-covers, in the sense of Rouquier, with exact Borel subalgebras, in the sense of König. Another application of the theory leads to a proof that Auslander–Dlab–Ringel algebras admit exact Borel subalgebras." @default.
• W2963242511 created "2019-07-30" @default.
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• W2963242511 date "2019-03-01" @default.
• W2963242511 modified "2023-10-18" @default.
• W2963242511 title "Borelic pairs for stratified algebras" @default.
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• W2963242511 doi "https://doi.org/10.1016/j.aim.2019.01.002" @default.
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