The best known example is a spin multiplet, which describes symmetries of a group representation of an SU(2) subgroup of the Lorentz algebra, which is used to define spin quantization.
There was 36% minority representation and 64% female representation in the 2021 entering class, with representation from 42 states and 28 countries.
For a finite-dimensional unitary representation, the dual representation and the conjugate representation coincide. This also holds for pseudounitary representations.
Studies of passive representation examine whether the composition of bureaucracies mirrors the demographic composition of the general population.
For the general linear group GL(2), the Jacquet module of an admissible irreducible representation has dimension at most two.
According to Armour and Levitt, the Latino representation has been steadily increasing since 1947.
is a projective representation, then direct calculation using [...] shows that the induced representation on [...] is a proper representation, i.e.
This representation, known as the "path model representation", induces a unitary representation of the braid group. Moreover, it holds that [...] for [...].
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