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About: Kirillov character formula     Goto   Sponge   NotDistinct   Permalink

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In mathematics, for a Lie group , the Kirillov orbit method gives a heuristic method in representation theory. It connects the Fourier transforms of coadjoint orbits, which lie in the dual space of the Lie algebra of G, to the infinitesimal characters of the irreducible representations. The method got its name after the Russian mathematician Alexandre Kirillov. The Kirillov orbit method has led to a number of important developments in Lie theory, including the Duflo isomorphism and the .