Pierre-Philippe Dechant
Pierre-Philippe Dechant
Senior Lecturer in Mathematical Sciences, York St John University
Verified email at yorksj.ac.uk - Homepage
TitleCited byYear
Affine extensions of non-crystallographic Coxeter groups induced by projection
PP Dechant, C Boehm, R Twarock
Journal of Mathematical Physics 54 (9), 093508, 2013
182013
Novel Kac–Moody-type affine extensions of non-crystallographic Coxeter groups
PP Dechant, C Boehm, R Twarock
Journal of Physics A: Mathematical and Theoretical 45 (28), 285202, 2012
182012
Viruses and fullerenes–symmetry as a common thread?
PP Dechant, J Wardman, T Keef, R Twarock
Acta Crystallographica Section A: Foundations and Advances 70 (2), 162-167, 2014
152014
Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups
PP Dechant
Advances in Applied Clifford Algebras 23 (2), 301-321, 2013
122013
Anisotropic, nonsingular early universe model leading to a realistic cosmology
PP Dechant, AN Lasenby, MP Hobson
Physical Review D 79 (4), 043524, 2009
122009
A Clifford algebraic framework for Coxeter group theoretic computations
PP Dechant
Advances in applied Clifford algebras 24 (1), 89-108, 2014
112014
The birth of E8 out of the spinors of the icosahedron
PP Dechant
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016
92016
Platonic solids generate their four-dimensional analogues
PP Dechant
Acta Crystallographica Section A: Foundations of Crystallography 69 (6), 592-602, 2013
82013
Clifford algebra is the natural framework for root systems and Coxeter groups. Group theory: Coxeter, conformal and modular groups
PP Dechant
Advances in Applied Clifford Algebras 27 (1), 17-31, 2017
72017
Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction
PP Dechant
Journal of Physics: Conference Series 597 (1), 012027, 2015
72015
The E 8 Geometry from a Clifford Perspective
PP Dechant
Advances in Applied Clifford Algebras 27 (1), 397-421, 2017
22017
A 3D spinorial view of 4D exceptional phenomena
PP Dechant
Symmetries in graphs, maps, and polytopes workshop, 81-95, 2014
12014
Cracking the Taub-NUT
PP Dechant, AN Lasenby, MP Hobson
Classical and Quantum Gravity 27 (18), 185010, 2010
12010
Machine-learning a virus assembly fitness landscape
PP Dechant, YH He
arXiv preprint arXiv:1901.05051, 2019
2019
From the Trinity (A3, B3, H3) to an ADE correspondence
PP Dechant
Proceedings of the Royal Society A 474 (2220), 20180034, 2018
2018
Recent developments in mathematical virology
PP Dechant
2018
A Clifford algebraic approach to reflection groups and root systems
PP Dechant
2017
Root systems & Clifford algebras: from symmetries of viruses to E8 & an ADE correspondence
PP Dechant
2017
Software Carpentry: Programming with Sage
PP Dechant, A Konovalov, S Lelievre
2017
Discrete subgroups of Pin groups
PP Dechant, R Ablamowicz
2017
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