mathematics, the coadjoint representation K {\displaystyle K} of a Lie group G {\displaystyle G} is the dual of the adjoint representation. If g {\displaystyle...

viewed as a differential of the adjoint representation of the Virasoro group. Its dual, the coadjoint representation of the Virasoro group, provides the transformation...

notion of a dual canonical basis. coadjoint A coadjoint representation is the dual representation of an adjoint representation. complete “completely reducible"...

mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence between...

is the Lie subalgebra of elements of g that annihilate ξ in the coadjoint representation. The index of the Lie algebra is ind ⁡ g := min ξ ∈ g ∗ dim ⁡ g...

Kirillov-Kostant-Souriau symplectic form of symplectic geometry, see Coadjoint representation. This disambiguation page lists articles associated with the title...

G} act on the space g ∗ {\displaystyle {\mathfrak {g}}^{*}} via coadjoint representation A d ∗ {\displaystyle \mathrm {Ad} ^{*}} . Let O f {\displaystyle...

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...

that the symplectic manifold is the 2-sphere, it can be realized as a coadjoint orbit in s u ( 2 ) ∗ {\displaystyle {\mathfrak {su}}(2)^{*}} . Assuming...

moduli space of monopoles; and the existence of hyperkähler structure on coadjoint orbits of complex semisimple Lie groups, proved by (Kronheimer 1990),...

g over an algebraically closed field of characteristic 0 in terms of coadjoint orbits. More precisely, it is a homeomorphism from the space of orbits...

worked in the construction of unitary representations of Lie groups using coadjoint orbits of the Lie algebras. She proved a generalized Poisson summation...

Institute of Technology in 1998. Her dissertation, Admissible Nilpotent Coadjoint Orbits of p-adic Reductive Lie Groups, was supervised by David Vogan....

manifolds under any maximal compact subgroup of G, and they are precisely the coadjoint orbits of compact Lie groups. Flag manifolds can be symmetric spaces....

matrices. Konstant's convexity theorem states that the projection of every coadjoint orbit of a connected compact Lie group into the dual of a Cartan subalgebra...

structure on g ∗ {\displaystyle {\mathfrak {g}}^{*}} are the orbits of the coadjoint action of G {\displaystyle G} on g ∗ {\displaystyle {\mathfrak {g}}^{*}}...

de Concini, Corrado; Kac, Victor G.; Procesi, Claudio (1992). "Quantum coadjoint action". Journal of the American Mathematical Society. 5 (1): 151–189...