7 citations · 18 across the 14 of their papers we have counts for
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The complex Lorentzian Leech lattice and the bimonster (II)
Tathagata Basak
Let be the incidence graph of the projective plane over $\FF_3$. The Artin group of the graph maps onto the bimonster and a complex hyperbolic reflection group acting o…
On Coxeter Diagrams of complex reflection groups
Tathagata Basak
We study Coxeter diagrams of some unitary reflection groups. Using solely the combinatorics of diagrams, we give a new proof of the classification of root lattices defined over $\c…
Reflection group of the quaternionic Lorentzian Leech lattice
Tathagata Basak
In this article we study a second example of the phenomenon studied in "Complex Lorentzian Leech lattice and bimonster".(Arxiv. math.GR/0508228). The results and methods of proof a…
The complex Lorentzian Leech lattice and the bimonster
Tathagata Basak
We find 26 reflections in the automorphism group of the the Lorentzian Leech lattice L over Z[exp(2*pi*i/3)] that form the Coxeter diagram seen in the presentation of the bimonster…