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- W2617854525 abstract "We show that the category of graded modules over a finite-dimensional graded algebra admitting a triangular decomposition can be endowed with the structure of a highest weight category. When the algebra is self-injective, we show furthermore that this highest weight category has tilting modules in the sense of Ringel. This provides a new perspective on the representation theory of such algebras, and leads to several new structures attached to them. There are a wide variety of examples in algebraic Lie theory to which this applies: restricted enveloping algebras, Lusztig's small quantum groups, hyperalgebras, finite quantum groups, and restricted rational Cherednik algebras." @default.
- W2617854525 created "2017-06-05" @default.
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- W2617854525 date "2017-05-22" @default.
- W2617854525 modified "2023-09-28" @default.
- W2617854525 title "Highest weight theory for finite-dimensional graded algebras with triangular decomposition" @default.
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