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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.
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
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
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
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
Classification of nonresonant Poisson structures
 Journ. of London Math Soc
, 1999
"... 1.0. Poisson structures Unless otherwise explicitly stated all mappings and tensors in the paper are C¢. A Poisson structure on a (C¢) manifold M is a bracket operation ( f, g)PN † f, g·, on the set of functions on M, which gives to this set a Lie algebra structure and which verifies ..."
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Cited by 2 (0 self)
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1.0. Poisson structures Unless otherwise explicitly stated all mappings and tensors in the paper are C¢. A Poisson structure on a (C¢) manifold M is a bracket operation ( f, g)PN † f, g·, on the set of functions on M, which gives to this set a Lie algebra structure and which verifies
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
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.
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
Results 1  10
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3,215