Filters: Author is Pierre-Philippe Dechant [Clear All Filters]
The birth of $E_8$ out of the spinors of the icosahedron. Proceedings of the Royal Society A.. Submitted.
Clifford algebra is the natural framework for root systems and Coxeter groups. Group theory: Coxeter, conformal and modular groups. Advances in Applied Clifford Algebras.. 2015.
The $E_8$ geometry from a Clifford perspective (Distinction in the David Hestenes Prize). Advances in Applied Clifford Algebras.. 2015.
A 3D spinorial view of 4D exceptional phenomena. SIGMAP, Proceedings in Mathematics and Statistics Series.. 2015.
Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction. Journal of Physics: Conference Series. 597:012027.. 2015.
Viruses and fullerenes – symmetry as a common thread? Acta Crystallographica Section A, March cover article; Nature Physics Research Highlight. 70:162–167.. 2014.
A Clifford Algebraic Framework for Coxeter Group Theoretic Computations. Advances in applied Clifford algebras, Conference Prize at AGACSE 2012. 24(1). 2014.
Affine extensions of non-crystallographic Coxeter groups induced by projection. cover article Journal of Mathematical Physics September 2013. 54(9). 2013.
Clifford Algebra Unveils a Surprising Geometric Significance of Quaternionic Root Systems of Coxeter Groups. Advances in Applied Clifford Algebras. 23:301–321.. 2013.
Platonic solids generate their four-dimensional analogues. Acta Crystallographica Section A: Foundations of Crystallography. 69:592–602.. 2013.
Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups. Journal of Physics A: Mathematical and Theoretical. 45(28):285202:1-14.. 2012.
Cracking the Taub-NUT. Classical and Quantum Gravity. 27(18). 2010.
Anisotropic, nonsingular early universe model leading to a realistic cosmology. Physical Review D. 79(4). 2009.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD