Representation Theory Of The Lorentz Group
The Lorentz group of theoretical physics has a variety of representations, corresponding to particles with integer and half-integer spins in quantum field theory. These representations are normally constructed out of spinors.
The group may also be represented in terms of a set of functions defined on the Riemann sphere. These are the Riemann P-functions, which are expressible as hypergeometric functions. An important special case is the subgroup SO(3), where these reduce to the spherical harmonics, and find practical application in the theory of atomic spectra.
Read more about Representation Theory Of The Lorentz Group: Finding Representations, Properties of The (m, n) Irrep, Common Representations, Full Lorentz Group
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