The Kirillov model, often associated with the work of renowned mathematician and physicist Nikolai Kirillov, pertains to representations of Lie groups and their corresponding geometric and algebraic structures. In particular, it relates to the representation theory of Lie algebras and the way these can be understood via geometric objects. One of the prominent aspects of the Kirillov model is the construction of representations of a Lie group in terms of its coadjoint action on the dual of its Lie algebra.
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