"By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most powerful tools."
Read at https://www.quantamagazine.org/what-are-lie-groups-20251203/
Image source:
E8 Petrie projection
https://en.wikipedia.org/wiki/Lie_group#/media/File:E8Petrie.svg
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“If you have a question which is generally perceived as unapproachable,
it’s often you don’t even quite know where to look to find a solution.
From that point of view, we are . . . stranded in the desert, hopelessly
lost. At the moment you get this insight, all of a sudden you’ll escape
the desert and things open up for you. Then we feel very excited. These
are the best moments. They make all the suffering, with absolutely no
progress, they really make it worth it.” (SOURCE: Jean Bourgain, problem solver by Terence Chi-Shen Tao - PNAS 116 (28) 13717-13718 June 17, 2019, https://doi.org/10.1073/pnas.1901965116)
Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University (MAE 5790 - Introduction to nonlinear dynamics)
