Sandeep Bose
Abstract
Using the Mackey theory of induced representations, the unitary irreducible representations of the proper Galilean group in 2+1 space–time dimensions are constructed. All representations, both true as well as the projective ones, are found. The concomitant representations of the Lie algebra are given.
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Using the Mackey theory of induced representations, the unitary irreducible representations of the proper Galilean group in 2+1 space–time dimensions are constructed. All representations, both true as well as the projective ones, are found. The concomitant representations of the Lie algebra are given.
Key concepts: Galilean, Induced representation, Representation theory of SU, Unitary state, Group (periodic table), Mathematics, Irreducible representation, Representation theory of the Lorentz group