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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
Anisotropic, nonsingular early universe model leading to a realistic cosmology
PP Dechant, AN Lasenby, MP Hobson
Physical Review D—Particles, Fields, Gravitation, and Cosmology 79 (4), 043524, 2009
192009
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
A Clifford algebraic framework for Coxeter group theoretic computations
PP Dechant
Advances in Applied Clifford Algebras 24, 89-108, 2014
162014
Clustering cluster algebras with clusters
MW Cheung, PP Dechant, YH He, E Heyes, E Hirst, JR Li
arXiv preprint arXiv:2212.09771, 2022
142022
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
142017
Cluster algebras: Network science and machine learning
PP Dechant, YH He, E Heyes, E Hirst
Journal of Computational Algebra 8, 100008, 2023
132023
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
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
Clifford Spinors and Root System Induction: 𝐻4 and the Grand Antiprism
PP Dechant
Advances in Applied Clifford Algebras 31, 2021
62021
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
52024
Therapeutic interfering particles exploiting viral replication and assembly mechanisms show promising performance: a modelling study
F Fatehi, RJ Bingham, PP Dechant, PG Stockley, R Twarock
Scientific reports 11 (1), 23847, 2021
52021
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
A 3D spinorial view of 4D exceptional phenomena
PP Dechant
Symmetries in graphs, maps, and polytopes workshop, 81-95, 2014
42014
Machine-learning a virus assembly fitness landscape
PP Dechant, YH He
PloS one 16 (5), e0250227, 2021
32021
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