Results 141 to 150 of about 178 (165)
Some of the next articles are maybe not open access.
BRST quantization and coadjoint orbit theories
Physical Review D, 1991A new ‘harmonic’ BRST method is presented for quantizing those dynamical systems having second-class constraints which split into holomorphic and antiholomorphic algebras. These theories include those whose phase spaces are coadjoint orbits of a compact semisimple Lie group.
openaire +2 more sources
The Symplectic Structure on Coadjoint Orbits
2019In this chapter, we explain why the orbit of the adjoint action on the Lie algebra of a Lie group is symplectic, and define its symplectic form (the Kirillov–Kostant–Souriau form). An example of an orbit of the adjoint action is the two-sphere, which is an orbit of the action of the rotation group SO(3) on its Lie algebra \({\mathbb R}^3\).
Shubham Dwivedi +3 more
openaire +1 more source
Coadjoint Orbits and Geometric Quantization
2017In the previous chapters we have seen how representation theory leads to geometric objects such as orbits. The purpose of this chapter is to describe the opposite phenomenon: starting from a coadjoint orbit of a group G, we will obtain a representation by quantizing the orbit.
openaire +1 more source
Characters, coadjoint orbits and Duistermaat-Heckman integrals
Journal of Geometry and Physics, 2021Samson Shatashvili, Anton Alekseev
exaly
Characters arising from monomial coadjoint orbits for finite pattern groups
Journal of Algebra, 2023Chufeng Nien
exaly
Coadjoint Orbits of the Poincaré Group for Discrete-Spin Particles in Any Dimension
Symmetry, 2021Nicolas Boulanger +2 more
exaly