ON THE DEFORMATION QUANTIZATION OF AFFINE ALGEBRAIC VARIETIES-Reference-Cited by-同舟云学术

ON THE DEFORMATION QUANTIZATION OF AFFINE ALGEBRAIC VARIETIES

Published:2005-04 Issue:04 Volume:16 Page:419-435
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

FIORESI R.¹,LLEDÓ M. A.²,VARADARAJAN V. S.³

Affiliation:

1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5. 40127 Bologna, Italy

2. Departament de Física Teòrica, Universitat de València and IFIC, CSIC-Universitat de València, C/Dr. Moliner, 50. 46100 Burjassot (València), Spain

3. Department of Mathematics, UCLA, Los Angeles, CA, 90095-1555, USA

Abstract

We compute an explicit algebraic deformation quantization for an affine Poisson variety described by an ideal in a polynomial ring, and inheriting its Poisson structure from the ambient space.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X05002898

Reference15 articles.

1. Deformation theory and quantization. I. Deformations of symplectic structures

2. Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

3. Ideals of the principal class,R-sequences and a certain monoidal transformation

4. A simple geometrical construction of deformation quantization

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