Results 121 to 130 of about 162 (153)

Cohomology Rings of Toric Bundles and the Ring of Conditions. [PDF]

Arnold Math J
Hofscheier J, Khovanskii A, Monin L.
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On the combinatorics of coadjoint orbits

Functional Analysis and Its Applications, 1993
Let \({\mathfrak g}\) be the Lie algebra of all upper triangular matrices over a finite field \(F_ q\). A combinatorial interpretation of the number \(O_{n,q}\) of all orbits of \({\mathfrak g}\) in \({\mathfrak g}^*\) is given as some partition function. It is proved that \(O_{n,q}\) is proportional to the number of all pairs of commuting elements in \
A A Kirillov, Kirillov A A
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Deformations on coadjoint orbits

Journal of Geometry and Physics, 1986
A deformation of the polynomial algebra \(S({\mathcal G})\) on \({\mathcal G}^*\) when \(S({\mathcal G})\) is a free \(I({\mathcal G})\) module is considered (\(I({\mathcal G}) =\) algebra of invariant polynomials). This deformation restricts nicely to a large class of orbits.
Arnal, D., Cahen, M., Gutt, S.
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Elliptic Coadjoint Orbits of Holomorphic Type

Journal of Lie Theory, 2023
Summary: This article proves that any elliptic coadjoint orbit of a semisimple Lie group carries a holomorphic bundle structure over a flag variety if the polarization is given by a \(\theta\)-stable parabolic subalgebra of holomorphic type. An application to the Penrose transform is given.
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On coadjoint orbits of rotational perfect fluids

Journal of Mathematical Physics, 1992
In this paper the structure of vortex coadjoint orbits pertaining to perfect fluids having smooth vorticities in R3, within the framework set up by J. Marsden and A. Weinstein [Physica D 7, 305–323 (1983)], in terms of an associated Hamiltonian Kähler manifold (the Clebsch manifold, described in terms of the so-called Clebsch variables) is investigated.
Penna, Vittorio, Spera, Mauro
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Virasoro Coadjoint Orbits

2017
In this chapter we classify the coadjoint orbits of the Virasoro group. Aside from their usefulness in the study of conformal symmetry, they are crucial for our purposes because they will turn out to coincide with the supermomentum orbits that classify BMS\(_3\) particles.
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Structure of the Coadjoint Orbits of Lie Algebras

Journal of Lie Theory, 2012
Summary: We study the geometrical structure of the coadjoint orbits of an arbitrary complex or real Lie algebra \(\mathfrak g\) containing some ideal \(\mathfrak n\). It is shown that any coadjoint orbit in \(\mathfrak g^*\) is a bundle with the affine subspace of \(\mathfrak g^*\) as its fibre.
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BRST quantization and coadjoint orbit theories

Physical Review D, 1991
A 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.
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