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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