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189,302
QUIVERS AND POISSON STRUCTURES
, 1108
"... Abstract. We produce natural quadratic Poisson structures on modulispaces of representations of quivers. In particular, we study a natural Poisson structure for the generalised Kronecker quiver with 3 arrows. 1. ..."
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Abstract. We produce natural quadratic Poisson structures on modulispaces of representations of quivers. In particular, we study a natural Poisson structure for the generalised Kronecker quiver with 3 arrows. 1.
ON EXACT POISSON STRUCTURES
"... Abstract. By studying the exactness of multilinear vectors on an orientable smooth manifold M, we give some characterizations to exact Poisson structures defined on M and study general properties of these structures. Following recent works [12, 13, 15], we will pay particular attention to the class ..."
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Abstract. By studying the exactness of multilinear vectors on an orientable smooth manifold M, we give some characterizations to exact Poisson structures defined on M and study general properties of these structures. Following recent works [12, 13, 15], we will pay particular attention
New Generalized Poisson Structures
 J. Phys. A29
, 1996
"... New generalized Poisson structures are introduced by using suitable skewsymmetric contravariant tensors of even order. The corresponding ‘Jacobi identities’ are provided by conditions on these tensors, which may be understood as cocycle conditions. As an example, we provide the linear generalized Po ..."
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Cited by 17 (5 self)
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New generalized Poisson structures are introduced by using suitable skewsymmetric contravariant tensors of even order. The corresponding ‘Jacobi identities’ are provided by conditions on these tensors, which may be understood as cocycle conditions. As an example, we provide the linear generalized
NONCOMMUTATIVE POISSON STRUCTURES ON ORBIFOLDS
, 2006
"... Abstract. In this paper, we compute the Gerstenhaber bracket on the Hochschild cohomology of C ∞ (M)⋊Γ. Using this computation, we classify all the noncommutative Poisson structures on C ∞ (M) ⋊ Γ when M is a symplectic manifold. We provide examples of deformation quantizations of these noncommutat ..."
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Cited by 8 (2 self)
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Abstract. In this paper, we compute the Gerstenhaber bracket on the Hochschild cohomology of C ∞ (M)⋊Γ. Using this computation, we classify all the noncommutative Poisson structures on C ∞ (M) ⋊ Γ when M is a symplectic manifold. We provide examples of deformation quantizations
Generalized Poisson structures
, 1996
"... New generalized Poisson structures are introduced by using skewsymmetric contravariant tensors of even order. The corresponding ‘Jacobi identities ’ are given by the vanishing of the SchoutenNijenhuis bracket. As an example, we provide the linear generalized Poisson structures which can be constru ..."
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Cited by 9 (3 self)
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New generalized Poisson structures are introduced by using skewsymmetric contravariant tensors of even order. The corresponding ‘Jacobi identities ’ are given by the vanishing of the SchoutenNijenhuis bracket. As an example, we provide the linear generalized Poisson structures which can
A Poisson Structure . . .
, 2002
"... We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold. ..."
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Cited by 16 (1 self)
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We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold.
On Quantization of Quadratic Poisson Structures
 Comm. in Math. Phys
"... Abstract: Any classical rmatrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel’d [Dr], [Gr]. We exhibit in this article an example of quadratic Pois ..."
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Cited by 11 (2 self)
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Abstract: Any classical rmatrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel’d [Dr], [Gr]. We exhibit in this article an example of quadratic
DYNAMICAL SYSTEMS AND POISSON STRUCTURES
, 2009
"... We first consider the Hamiltonian formulation of n = 3 systems in general and show that all dynamical systems in R 3 are biHamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical system. We find the Poisson structures of a dynamical system recently given by Bender ..."
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Cited by 2 (0 self)
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We first consider the Hamiltonian formulation of n = 3 systems in general and show that all dynamical systems in R 3 are biHamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical system. We find the Poisson structures of a dynamical system recently given by Bender
On Poisson Structure And Curvature
 The EnergyMomentum Of A Poisson Structure,” 0709.3159 [hepth]; “WKB Approximation In Noncommutative Gravity,” SIGMA 3 (2007) 125
, 1999
"... We consider a curved spacetime whose algebra of functions is the commutative limit of a noncommutative algebra and which has therefore an induced Poisson structure. In a simple example we determine a relation between this structure and the Riemann tensor. ..."
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Cited by 6 (3 self)
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We consider a curved spacetime whose algebra of functions is the commutative limit of a noncommutative algebra and which has therefore an induced Poisson structure. In a simple example we determine a relation between this structure and the Riemann tensor.
POISSON STRUCTURES ON LIE ALGEBROIDS
"... Abstract. In this paper the properties of Lie algebroids with Poisson structures are investigated. We generalize some results of Fernandes [1] regarding linear contravariant connections on Poisson manifolds at the level of Lie algebroids. In the last part, the notions of complete and horizontal lift ..."
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Cited by 1 (0 self)
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Abstract. In this paper the properties of Lie algebroids with Poisson structures are investigated. We generalize some results of Fernandes [1] regarding linear contravariant connections on Poisson manifolds at the level of Lie algebroids. In the last part, the notions of complete and horizontal
Results 1  10
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189,302