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JEFFREYKIRWANWITTEN LOCALIZATION FORMULA FOR REDUCTIONS AT REGULAR COADJOINT ORBITS
"... For MarsdenWeinstein reduction at the point 0 in g∗, the wellknown JeffreyKirwanWitten localization formula was proven and then by M. Vergne modified. We prove in this paper the same kind formula for the reduction at regular coadjoint orbits by using the universal orbital formula of characters ..."
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For MarsdenWeinstein reduction at the point 0 in g∗, the wellknown JeffreyKirwanWitten localization formula was proven and then by M. Vergne modified. We prove in this paper the same kind formula for the reduction at regular coadjoint orbits by using the universal orbital formula
JEFFREYKIRWANWITTEN LOCALIZATION FORMULA FOR REDUCTIONS AT REGULAR COADJOINT ORBITS
, 1998
"... Abstract. For MarsdenWeinstein reduction at the point 0 in g ∗ , the wellknown JeffreyKirwanWitten localization formula was proven and then by M. Vergne modified. We prove in this paper the same kind formula for the reduction at regular coadjoint orbits by using the universal orbital formula of ..."
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Abstract. For MarsdenWeinstein reduction at the point 0 in g ∗ , the wellknown JeffreyKirwanWitten localization formula was proven and then by M. Vergne modified. We prove in this paper the same kind formula for the reduction at regular coadjoint orbits by using the universal orbital formula
FUSION PRODUCT OF COADJOINT ORBITS
, 1998
"... In this paper, we introduce the fusion product of a generic pair of coadjoint orbits. This construction provides the geometric dual object to the product in Verlinde fusion algebra. The latter is a quantum deformation of the standard tensor product, the fusion product constructed here is the corres ..."
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In this paper, we introduce the fusion product of a generic pair of coadjoint orbits. This construction provides the geometric dual object to the product in Verlinde fusion algebra. The latter is a quantum deformation of the standard tensor product, the fusion product constructed here
Adjoint and coadjoint orbits of the Poincaré group
"... In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is not an eigenvalue. As a special case, we classify the ad ..."
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Cited by 3 (2 self)
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In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is not an eigenvalue. As a special case, we classify
Contents
, 2004
"... We study the problem of determining all connected Lie groups G which have the following property (hlp): every subLaplacian L on G is of holomorphic L ptype for 1 ≤ p < ∞, p ̸ = 2. First we show that semisimple noncompact Lie groups with finite center have this property, by using holomorphic f ..."
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direct extensions of exponential solvable Lie groups by connected compact Lie groups. It had been proved in [8] that every exponential solvable Lie group S, which has a non ∗ regular coadjoint orbit whose restriction to the nilradical is closed, has property (hlp), and we show here that (hlp) remains valid
A quadratic inequality for sum of coadjoint orbits
, 2007
"... We obtain an e¤ective lower bound on the distance of sum of coadjoint orbits from the origin. Even when the distance is zero, thus the symplectic quotient is wellde
ned, our result give a nontrivial constraint on these coadjoint orbits. In the particular case of unitary groups, we recover the qua ..."
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We obtain an e¤ective lower bound on the distance of sum of coadjoint orbits from the origin. Even when the distance is zero, thus the symplectic quotient is wellde
ned, our result give a nontrivial constraint on these coadjoint orbits. In the particular case of unitary groups, we recover
Quantum coadjoint orbits of MD4groups
 Vietnam J. Math
"... Abstract. Using ⋆product on Coadjoint orbits (Korbits) of the MD4 groups we obtain quantum halfplanes, quantum hyperbolic cylinders, quantum hyperbolic paraboloids...via Fedosov deformation quantization. From this we have corresponding unitary representations of the MD4 groups. Particularly, f ..."
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Cited by 1 (0 self)
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Abstract. Using ⋆product on Coadjoint orbits (Korbits) of the MD4 groups we obtain quantum halfplanes, quantum hyperbolic cylinders, quantum hyperbolic paraboloids...via Fedosov deformation quantization. From this we have corresponding unitary representations of the MD4 groups. Particularly
Inverse Moment Problem for Elementary CoAdjoint Orbits
, 2001
"... We give a solution to the inverse moment problem for a certain class of Hessenberg and symmetric matrices related to integrable lattices of Toda type. ..."
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Cited by 4 (1 self)
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We give a solution to the inverse moment problem for a certain class of Hessenberg and symmetric matrices related to integrable lattices of Toda type.
QUANTUM COADJOINT ORBITS OF THE REAL DIAMOND GROUP
, 2000
"... Abstract. We present explicit formulas for deformation quantization on the coadjoint orbits of the real diamond Lie group. From this we obtain quantum halfplans, quantum hyperbolic cylinders, quantum hyperbolic paraboloids via Fedosov deformation quantization and finally, the corresponding unitary r ..."
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Cited by 2 (0 self)
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Abstract. We present explicit formulas for deformation quantization on the coadjoint orbits of the real diamond Lie group. From this we obtain quantum halfplans, quantum hyperbolic cylinders, quantum hyperbolic paraboloids via Fedosov deformation quantization and finally, the corresponding unitary
Results 1  10
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1,085