Sheaves on the alcoves and modular representations I

Fiebig P, Lanini M (2020)

Publication Language: English

Publication Status: Accepted

Publication Type: Journal article

Future Publication Type: Journal article

Publication year: 2020

Journal

Transformation Groups Springer Verlag (Germany)

Publisher: Birkhäuser

Series: Transformation Groups

City/Town: Boston

DOI: 10.1007/s00031-020-09563-7

Abstract

We consider the set of affine alcoves associated with a root system R as a topological space and define a certain category S of sheaves of Zk-modules on this space. Here Zk is the structure algebra of the root system over a field k. To any wall reflection s we associate a wall crossing functor on S. In the companion article [FL] we prove that S encodes the simple rational characters of the connected, semisimple and simply connected algebraic group with root system R over k, in the case that k is algebraically closed with characteristic above the Coxeter number.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

Involved external institutions

Università degli Studi di Roma 'Tor Vergata'

Italy (IT)

How to cite

APA:

Fiebig, P., & Lanini, M. (2020). Sheaves on the alcoves and modular representations I. Transformation Groups. https://dx.doi.org/10.1007/s00031-020-09563-7

MLA:

Fiebig, Peter, and Martina Lanini. "Sheaves on the alcoves and modular representations I." Transformation Groups (2020).

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