We relate the category of sheaves on alcoves that was constructed in [FL1] to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode the irreducible rational characters of a connected, semisimple and simply connected reductive algebraic group for characteristics above the Coxeter number.
Fiebig, P., Lanini, M. (2020). Sheaves on the alcoves and modular representations II. TRANSFORMATION GROUPS, 25(3), 755-791 [10.1007/s00031-020-09562-8].
Sheaves on the alcoves and modular representations II
Lanini, M
2020-01-01
Abstract
We relate the category of sheaves on alcoves that was constructed in [FL1] to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode the irreducible rational characters of a connected, semisimple and simply connected reductive algebraic group for characteristics above the Coxeter number.File in questo prodotto:
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