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arXiv · 1807.08690

Dualité de Koszul formelle et théorie des représentations des groupes algébriques réductifs en caractéristique positive

Pramod N. Achar·Simon Riche
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Abstract

In this survey paper, we present the broad outlines of the proof of a character formula for tilting representations of reductive algebraic groups in positive characteristic, obtained partly in collaboration with several other authors. A unifying theme for a number of steps of this proof is the notion of "formal Koszul duality." We explain this notion and discuss some applications. ----- Dans cet article nous présentons les grandes lignes de la preuve d'une formule de caractères pour les représentations basculantes des groupes algébriques réductifs sur un corps de caractéristique positive, obtenue partiellement en collaboration avec plusieurs auteurs. Nous unissons les différentes étapes de cette preuve dans la notion de "dualité de Koszul formelle", et en présentons quelques applications.

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BibTeXRIS

Pramod N. Achar, Simon Riche. 2018-07-23. Dualité de Koszul formelle et théorie des représentations des groupes algébriques réductifs en caractéristique positive. https://arxiv.org/abs/1807.08690

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