#liegroups — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #liegroups, aggregated by home.social.
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🔬🤓 Ah, the ever-mystical Lie groups—because nothing screams “fundamental to physics” like a tangled web of symbols you’ll never use outside academia! But hey, at least #Quanta offers a #newsletter so you can pretend you understand it while shopping for overpriced science merch. 🛍️📚
https://www.quantamagazine.org/what-are-lie-groups-20251203/ #LieGroups #Physics #ScienceMerch #Academia #HackerNews #ngated -
Lie groups are crucial to some of the most fundamental theories in physics
https://www.quantamagazine.org/what-are-lie-groups-20251203/
#HackerNews #LieGroups #Physics #Theories #Mathematics #QuantumMechanics #FundamentalScience
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I've worked out that the injectivity radius under the Euclidean metric for the #unitary group U(n) is π and for real and special subgroups O(n), SO(n), and SU(n) is π√2.
This seems like a pretty basic property, but I can't find a single reference that gives the injectivity radii for any of these groups. Anyone know of one?