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math.RT2018
A Bijection Between the Adjoint and Coadjoint Orbits of a Semidirect Product
Philip Arathoon
We prove that there exists a geometric bijection between the sets of adjoint and coadjoint orbits of a semidirect product, provided a similar bijection holds for particular subgrou…
math.RT2018
Hermitian flag manifolds and orbits of the Euclidean group
Philip Arathoon, James Montaldi
We study the adjoint and coadjoint representations of a class of Lie group including the Euclidean group. Despite the fact that these representations are not in general isomorphic,…