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SHEAVES ON THE ALCOVES AND MODULAR REPRESENTATIONS II

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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.

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Authors and Affiliations

  1. Department Mathematik, FAU Erlangen–Nürnberg, Cauerstraße 11, 91058, Erlangen, Germany

    P. FIEBIG

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, I-00133, Rome, Italy

    M. LANINI

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  1. P. FIEBIG
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  2. M. LANINI
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Correspondence to M. LANINI.

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FIEBIG, P., LANINI, M. SHEAVES ON THE ALCOVES AND MODULAR REPRESENTATIONS II. Transformation Groups 25, 755–791 (2020). https://doi.org/10.1007/s00031-020-09562-8

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  • DOI: https://doi.org/10.1007/s00031-020-09562-8

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