keywords:
[taxonomy of groups]
[decomposing groups]
[G-modules and group algebras]
[group actions and homogeneous spaces]
[Lie groups]
[Representation Theory]
[Character Theory and abelian groups]
[restricted and induced representations]
[the symmetric group]
[the general linear group]
[the classical Fourier transforms]
[Fourier analysis on groups]
[spectral analysis on finite groups]
[factorial designs]
[analysis of data on the symmetric group]
[Hilbert space learning algorithms]
[learning permutations]
[multi-object tracking]
[invariant functionals]
[invariant features for images]
[the structure of the underlying space]
[the science of data]
