Unitary Representations of Lie Groups
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Bachelor Thesis
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Abstract
Lie groups appear naturally as symmetry groups in quantum mechanics. Representation theory of Lie groups can provide information of the physical system of interest. This thesis focusses on the unitary and projective representations of the Lie groups and discusses the historically relevant Wigner's classification of elementary particles.
Keywords
Lie groups, Lie algebras, Representation theory, Mathematical physics , Mackey theory,