Outputs (2)

Affine extensions of non-crystallographic Coxeter groups induced by projection (2013)
Journal Article
Dechant, P., Boehm, C., & Twarock, R. (2013). Affine extensions of non-crystallographic Coxeter groups induced by projection. Journal of Mathematical Physics, 54(9), Article 093508. https://doi.org/10.1063/1.4820441

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 of the root systems E 8, D 6, and A 4. We show that the induced affine... Read More about Affine extensions of non-crystallographic Coxeter groups induced by projection.

Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups (2012)
Journal Article
Dechant, P., Boehm, C., & Twarock, R. (2012). Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups. Journal of Physics A: Mathematical and Theoretical, 45(28), Article 285202. https://doi.org/10.1088/1751-8113/45/28/285202

Motivated by recent results in mathematical virology, we present novel asymmetric -integer-valued affine extensions of the non-crystallographic Coxeter groups H2, H3 and H4 derived in a Kac–Moody-type formalism. In particular, we show that the affine... Read More about Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups.