- In mathematics, the
coadjoint representation K {\displaystyle K} of a Lie
group G {\displaystyle G} is the dual of the
adjoint representation. If g {\displaystyle...
- 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...
-
differential of the
adjoint representation of the
Virasoro group. Its dual, the
coadjoint representation of the
Virasoro group,
provides the
transformation law...
- θ ) , {\displaystyle {d^{2} \over d\theta ^{2}}+q(\theta ),} and the
coadjoint action of Diff(S1)
invokes the
Schwarzian derivative. The
inverse of the...
-
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...
-
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....
- can
always be
chosen to make the
momentum map
coadjoint equivariant. However, in
general the
coadjoint action must be
modified to make the map equivariant...
- 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...
- also
computes the
Fourier transform of (Kostant's
symplectic form on)
coadjoint orbit,
yielding the Harish-Chandra's
integration formula,
which in turns...
- by any
diffeomorphism of manifolds, and the
coadjoint action of an
element of a Lie
group on a
coadjoint orbit. Any
smooth function on a
symplectic manifold...
