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math-ph2011★ 16 cited
Affine extensions of non-crystallographic Coxeter groups induced by projection
Pierre-Philippe Dechant, Celine Boehm, Reidun Twarock
In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived via Coxeter-Dynkin diagram foldings and projections of affine extended versions…
math-ph2011★ 20 cited
Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups
Pierre-Philippe Dechant, Celine Boehm, Reidun Twarock
Motivated by recent results in mathematical virology, we present novel asymmetric Z[tau]-integer-valued affine extensions of the non-crystallographic Coxeter groups H_2, H_3 and H_…