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Pierre-Philippe Dechant
Pierre-Philippe Dechant
Lecturer in Applied Mathematics, University of Leeds
Verified email at leeds.ac.uk - Homepage
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Cited by
Cited by
Year
Affine extensions of non-crystallographic Coxeter groups induced by projection
PP Dechant, C Bœhm, R Twarock
Journal of Mathematical Physics 54 (9), 2013
332013
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
322014
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
302012
Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups
PP Dechant
Advances in Applied Clifford Algebras 23, 301-321, 2013
232013
The birth of E8 out of the spinors of the icosahedron
PP Dechant
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016
182016
Anisotropic, nonsingular early universe model leading to a realistic cosmology
PP Dechant, AN Lasenby, MP Hobson
Physical Review D 79 (4), 043524, 2009
182009
A Clifford algebraic framework for Coxeter group theoretic computations
PP Dechant
Advances in Applied Clifford Algebras 24, 89-108, 2014
152014
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, 17-31, 2017
132017
The E 8 Geometry from a Clifford Perspective
PP Dechant
Advances in Applied Clifford Algebras 27, 397-421, 2017
112017
Platonic solids generate their four-dimensional analogues
PP Dechant
Acta Crystallographica Section A: Foundations of Crystallography 69 (6), 592-602, 2013
102013
Cluster algebras: Network science and machine learning
PP Dechant, YH He, E Heyes, E Hirst
Journal of Computational Algebra 8, 100008, 2023
92023
From the Trinity (A3, B3, H3) to an ADE correspondence
PP Dechant
Proceedings of the Royal Society A 474 (2220), 20180034, 2018
92018
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
92015
Clustering cluster algebras with clusters
MW Cheung, PP Dechant, YH He, E Heyes, E Hirst, JR Li
arXiv preprint arXiv:2212.09771, 2022
82022
Models of viral capsid symmetry as a driver of discovery in virology and nanotechnology
PP Dechant, R Twarock
The Biochemist 43 (1), 20-24, 2021
52021
Clifford Spinors and Root System Induction: 𝐻4 and the Grand Antiprism
PP Dechant
Advances in Applied Clifford Algebras 31, 2021
42021
A 3D spinorial view of 4D exceptional phenomena
PP Dechant
Symmetries in graphs, maps, and polytopes workshop, 81-95, 2014
42014
Machine learning clifford invariants of ADE coxeter elements
S Chen, PP Dechant, YH He, E Heyes, E Hirst, D Riabchenko
Advances in Applied Clifford Algebras 34 (3), 20, 2024
32024
Machine-learning a virus assembly fitness landscape
PP Dechant, YH He
PloS one 16 (5), e0250227, 2021
32021
Cracking the Taub-NUT
PP Dechant, AN Lasenby, MP Hobson
Classical and Quantum Gravity 27 (18), 185010, 2010
32010
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