25 citations · 146 across the 36 of their papers we have counts for
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math.GR2014
Presentation of hyperbolic Kac-Moody groups over rings
Daniel Allcock, Lisa Carbone
Tits has defined Kac-Moody and Steinberg groups over commutative rings, providing infinite dimensional analogues of the Chevalley-Demazure group schemes. Here we establish simple e…
math.GR2014★ 2 cited
Prenilpotent pairs in the E10 root system
Daniel Allcock
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, w…
math.GR2014★ 6 cited
Presentation of affine Kac-Moody groups over rings
Daniel Allcock
Tits has defined Steinberg groups and Kac-Moody groups for any root system and any commutative ring R. We establish a Curtis-Tits-style presentation for the Steinberg group St of a…