Prenilpotent Pairs in the E10 Root Lattice

Abstract

Tits has defined Kac–Moody groups for all root systems, over all commutative rings with unit. A central concept is the idea of a prenilpotent pair of (real) roots. In particular, writing down his group presentation explicitly would require knowing all the Weyl-group orbits of such pairs. We show that for the hyperbolic root system E10 there are so many… (More)

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Cite this paper

@inproceedings{Allcock2017PrenilpotentPI, title={Prenilpotent Pairs in the E10 Root Lattice}, author={Daniel Allcock}, year={2017} }