Abstract
Some basic concepts of Lie group representation theory The Heisenberg group The unitary group Compact Lie groups Harmonic analysis on spheres Induced representations, systems of imprimitivity, and semidirect products Nilpotent Lie groups Harmonic analysis on cones $\mathrm {SL}(2,R)$ $\mathrm {SL}(2, \mathbf C)$, and more general Lorentz groups Groups of conformal transformations The symplectic group and the metaplectic group Spinors Semisimple Lie groups.
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