Applications of (computational) representation theory

[jdbancal]

• A. Zingoni, “Group-theoretic exploitations of symmetry in computational solid and structural mechanics,” International Journal for Numerical Methods in Engineering, vol. 79, no. 3, pp. 253–289, 2009, doi: 10.1002/nme.2576.

• A. Zingoni, “Group-theoretic applications in solid and structural mechanics: a review,” in Computational structures technology, GBR: Civil-Comp press, 2002, pp. 283–317.

Applied to differential equations: https://www.math.ubc.ca/~bluman/

[denisrosset]

Applications in machine learning (mix of links):

https://github.com/tscohen/gconv_experiments
https://arxiv.org/abs/1811.07051
https://link.springer.com/chapter/10.1007%2F978-3-030-29513-4_37
https://github.com/Chen-Cai-OSU/awesome-equivariant-network
https://github.com/stanford-futuredata/equivariant-transformers
https://proceedings.neurips.cc/paper/2020/file/2be5f9c2e3620eb73c2972d7552b6cb5-Paper.pdf
https://arxiv.org/abs/2105.13926

[denisrosset]

https://lgg.epfl.ch/research_shape_analysis_symmetrydetection.php

https://mathoverflow.net/questions/13320/cool-problems-to-impress-students-with-group-theory

https://qchu.wordpress.com/2009/06/13/gila-i-group-actions-and-equivalence-relations/

http://bit-player.org/wp-content/extras/bph-publications/AmSci-2005-09-Hayes-mattress.pdf

https://mathoverflow.net/questions/25617/applications-of-group-theory-which-motivate-theoretical-questions

https://en.wikipedia.org/wiki/Cycle_index#The_cycle_index_of_the_face_permutations_of_a_cube

https://mathoverflow.net/questions/94907/applications-of-group-theory-to-mathematical-biology-pharmacology

https://royalsocietypublishing.org/doi/10.1098/rsif.2020.0204