## References

SHOWING 1-10 OF 56 REFERENCES

### Categorical perspective on quantization of Poisson algebra

- Mathematics
- 2019

We propose a generalization of quantization as a categorical way. For a fixed Poisson algebra quantization categories are defined as subcategories of R-module category with the structure of classical…

### On the geometric quantization of Poisson manifolds

- Mathematics
- 1991

In a paper by Huebschmann [J. Reine Angew. Math. 408, 57 (1990)], the geometric quantization of Poisson manifolds appears as a particular case of the quantization of Poisson algebras. Here, this…

### Deformation quantization of Heisenberg manifolds

- Mathematics
- 1989

ForM a smooth manifold equipped with a Poisson bracket, we formulate aC*-algebra framework for deformation quantization, including the possibility of invariance under a Lie group of diffeomorphisms…

### A Generalization of the Quantization of Poisson Manifolds

- Mathematics
- 2020

We propose a unified perspective of quantization using a categorical approach. From a fixed Poisson algebra, we define quantization categories as subcategories of theR-module category equipped with…

### Dirac operators for matrix algebras converging to coadjoint orbits

- Mathematics
- 2021

In the high-energy physics literature one finds statements such as ``matrix algebras converge to the sphere''. Earlier I provided a general precise setting for understanding such statements, in which…

### Commutative geometry for non-commutative D-branes by tachyon condensation

- MathematicsProgress of Theoretical and Experimental Physics
- 2018

There is a difficulty in defining the positions of the D-branes when the scalar fields on them are non-abelian. We show that we can use tachyon condensation to determine the position or the shape of…

### Strict deformation quantization of a particle in external gravitational and Yang-Mills fields

- Mathematics
- 1993

### Poisson Lie groups, dressing transformations, and Bruhat decompositions

- Mathematics
- 1990

A Poisson Lie group is a Lie group together with a compatible Poisson structure. The notion of Poisson Lie group was first introduced by Drinfel'd [2] and studied by Semenov-Tian-Shansky [17] to…