Add to ORKGThe problem of quantization in mechanics originated the problem of making the ring of Cco functions on a manifold into an infinite dimensional Lie algebra, called Poisson algebra, by defining a Poisson bracket operation. The classical Poisson bracket operation was generalized by F. A. Berezin [1, 2] in the study of quantization, and moreover, th
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
1.0. Poisson structures Unless otherwise explicitly stated all mappings and tensors in the paper are...
In this paper, we use the theory of deformation quantization to understand Connes' and Moscovici's r...
Quantization of dynamical system yields an algebraic problem for making a ring of Coo functions on a...
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
On an n-dimensional differentiable manifold swl with a second rank skew-symmetric differentiable ten...
This book deals with two old mathematical problems. The first is the problem of constructing an anal...
The aim of the note is to provide an introduction to the algebraic, geometric and quantum field theo...
On an m-dimensional differentiable manifold EM with a second rank skew-symmetric differentiable tens...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
peer reviewedWe discuss a framework for quantizing a Poisson manifold via the quantization of its sy...
We introduce a category composed of all quantizations of all Poisson algebras. By the category, we c...
In his work on crystal bases [13], Kashiwara introduced a certain degeneration of the quantized univ...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
Let K be a field of characteristic 0 and let C be a commutative K-algebra. A Poisson bracket on C is...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
1.0. Poisson structures Unless otherwise explicitly stated all mappings and tensors in the paper are...
In this paper, we use the theory of deformation quantization to understand Connes' and Moscovici's r...
Quantization of dynamical system yields an algebraic problem for making a ring of Coo functions on a...
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
On an n-dimensional differentiable manifold swl with a second rank skew-symmetric differentiable ten...
This book deals with two old mathematical problems. The first is the problem of constructing an anal...
The aim of the note is to provide an introduction to the algebraic, geometric and quantum field theo...
On an m-dimensional differentiable manifold EM with a second rank skew-symmetric differentiable tens...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
peer reviewedWe discuss a framework for quantizing a Poisson manifold via the quantization of its sy...
We introduce a category composed of all quantizations of all Poisson algebras. By the category, we c...
In his work on crystal bases [13], Kashiwara introduced a certain degeneration of the quantized univ...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
Let K be a field of characteristic 0 and let C be a commutative K-algebra. A Poisson bracket on C is...
A Poisson algebra is a commutative algebra with a Lie bracket {, } satisfying the Leibniz rule. Such...
1.0. Poisson structures Unless otherwise explicitly stated all mappings and tensors in the paper are...
In this paper, we use the theory of deformation quantization to understand Connes' and Moscovici's r...