New Thread: Group Theory & its Applications in Physics
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Group Theory & Physics (3): Lie Groups The defining property of a Lie Group is that the group elements can be parametrized by a continuous variable.pic.twitter.com/pNJd0n5VRj
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Group Theory & Physics (4): Lie Groups SU(2) & SO(3) These are two of the most important groups in physics, and are at the heart of Quantum Mechanics, Special Relativity, and Quantum Field Theory.pic.twitter.com/axBTNurgJX
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Do not forget to mention: SU(2)/Z2≅SO(3) where Z2 resembles {-1,+1}. The "2-to-1 homomorphic mapping" of SU(2) onto SO(3) i.e. the 2-fold covering of the compact SO(3) by SU(2).
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