搜索结果: 1-6 共查到“理学 Poisson algebras”相关记录6条 . 查询时间(0.109 秒)
Calabi-Yau algebras viewed as deformations of Poisson algebras
Koszul algebras Calabi-Yau algebras Poisson algebras deformations of algebras Poisson homology Hochschild homology
2011/9/19
Abstract: We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the ...
Abstract: We define a Poisson algebra structure $(P,[\cdot,\cdot],\cdot)$ on the space $P:=\C[y]((x^{\frac1N}))$, and study its properties. In particular, we introduce some automorphisms of $(P,[\cdot...
On Lie algebroids and Poisson algebras
Lie algebroids Poisson algebras faithful modules Differential Geometry
2011/7/27
Abstract: We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classificati...
Poisson algebras and symmetries of block-upper-triangular matrices
Poisson algebras symmetries of block-upper-triangular matrices
2011/2/25
Using the structure of algebroid of block-upper-triangular matri-ces composed from blocks of size m×m we obtain the Poisson brackets on the entries of these matrices and construct the braid-group acti...
Quantization of Poisson algebras associated to Lie algebroids
Quantization Poisson algebras Lie algebroids
2010/11/1
We prove the existence of a strict deformation quantization for the canonical Poisson structure on the dual of an integrable Lie algebroid. It follows that any Lie groupoid C*-algebra may be regarded...
Mutation-Periodic Quivers, Integrable Maps and Associated Poisson Algebras
Integrable Maps Associated Poisson Algebras
2010/4/2
We consider a class of map, recently derived in the context of cluster mutation. In this paper we start with a brief review of the quiver context, but then move onto a discussion of a related Poisson ...