We construct a generalization of the BGG-category O, whose blocks correspond to standardly stratified algebras. We prove reciprocity formulae in these categories and present two classes of examples.
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Univ Sao Paulo, Inst Math, Caixa Postal 66281, BR-05314970 Sao Paulo, BrazilUniv Sao Paulo, Inst Math, Caixa Postal 66281, BR-05314970 Sao Paulo, Brazil
Futorny, Vyacheslav
Kashuba, Iryna
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Univ Sao Paulo, Inst Math, Caixa Postal 66281, BR-05314970 Sao Paulo, BrazilUniv Sao Paulo, Inst Math, Caixa Postal 66281, BR-05314970 Sao Paulo, Brazil
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Univ Santiago de Compostela, Dept Matemat, Santiago De Compostela 15782, Spain
Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Dept Matemat, Santiago De Compostela 15782, Spain
Fernandez-Farina, Alejandro
Ladra, Manuel
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Univ Santiago de Compostela, Dept Matemat, Santiago De Compostela 15782, Spain
Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Dept Matemat, Santiago De Compostela 15782, Spain