papers
Publications (14)
math-ph2012
Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups
Pierre-Philippe Dechant
gr-qc2010
Cracking the Taub-NUT
Pierre-Philippe Dechant, Anthony N. Lasenby, Michael P. Hobson
math-ph2012
Affine extensions of non-crystallographic Coxeter groups induced by projection
Pierre-Philippe Dechant, Celine Boehm, Reidun Twarock
math.RT2016
A 3D spinorial view of 4D exceptional phenomena
Pierre-Philippe Dechant
math-ph2013
A Clifford algebraic framework for Coxeter group theoretic computations
Pierre-Philippe Dechant
math-ph2013
Platonic solids generate their four-dimensional analogues
Pierre-Philippe Dechant
math-ph2016
The Birth of $E_8$ out of the Spinors of the Icosahedron
Pierre-Philippe Dechant
math-ph2012
Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups
Pierre-Philippe Dechant, Celine Boehm, Reidun Twarock
math.RT2016
The $E_8$ geometry from a Clifford perspective
Pierre-Philippe Dechant
math-ph2018
From the Trinity $(A_3, B_3, H_3)$ to an ADE correspondence
Pierre-Philippe Dechant
math-ph2014
Viruses and Fullerenes - Symmetry as a Common Thread?
Pierre-Philippe Dechant, Jess Wardman, Tom Keef +1
math-ph2016
Clifford algebra is the natural framework for root systems and Coxeter groups. Group theory: Coxeter, conformal and modular groups
Pierre-Philippe Dechant
gr-qc2009
An anisotropic, non-singular early universe model leading to a realistic cosmology
Pierre-Philippe Dechant, Anthony N. Lasenby, Michael P. Hobson
math-ph2016
Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction
Pierre-Philippe Dechant