Daniel Beltiţă, Amel Zergane
Abstract
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We present a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected locally compact nilpotent groups and arbitrary infinite direct products of nilpotent Lie groups.
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We present a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected locally compact nilpotent groups and arbitrary infinite direct products of nilpotent Lie groups.
Key concepts: Mathematics, Simple Lie group, Pure mathematics, Lie group, Nilpotent, Fundamental representation, Representation theory, Adjoint representation