Results 131 to 140 of about 162 (153)

The Symplectic Structure on Coadjoint Orbits

2019
In 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, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk   +3 more
openaire   +1 more source

Coadjoint Orbits and Geometric Quantization

2017
In 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

Coadjoint Orbits of the Poincaré Group for Discrete-Spin Particles in Any Dimension

Symmetry, 2021
Nicolas Boulanger, Andrea Campoleoni, Campoleoni Andrea   +2 more
exaly  

Coadjoint Orbits

1994
Jerrold E. Marsden, Tudor S. Ratiu
openaire   +1 more source

Linearity of the Transverse Poisson Structure to a Coadjoint Orbit

Letters in Mathematical Physics, 2003
Inés Cruz
exaly  

Coadjoint orbits and polarizations

2020
openaire   +1 more source

Coadjoint orbits and induced representations

1993
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1993. ; Includes bibliographical references (leaves 82-84). ; by Zongyi Li. ; Ph.D.
openaire   +1 more source

Comparison and continuity of Wick-type star products on certain coadjoint orbits

Forum Mathematicum, 2019
Stefan Waldmann, Chiara Esposito
exaly  

Coadjoint orbits of the group UT(7, K)

Journal of Mathematical Sciences, 2009
Panov A N, A N Panov
exaly  

On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I

Mathematische Annalen, 1988
Pedersen Niels Vigand
exaly