Star product and star exponential
type: Item
instance of: scholarly article
title: Star product and star exponential
zbMATH Open document ID: 1205.53093
author: Toshio Tomihisa
author: Akira Yoshioka
published in: Journal of Geometry and Symmetry in Physics
publication date: 2010-12-08T00:00:00Z
review text: This paper introduces a family of star products, parameterized by the space of complex symmetric matrices. Let us recall that Omori-Maeda-Miyazaki-Yoshioka obtained a generalization of the well-known Moyal-Weyl product by means of complex symmetric matrices. In this work, the authors consider this generalization and review the relevant facts about topological spaces and star exponentials. Then, they study several examples where they obtained interesting results. The star exponential of these examples are also discussed.
reviewed by: Angela Gammella-Mathieu
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 53D17
zbMATH DE Number: 5823817
zbMATH Keywords: deformation quantization
zbMATH Keywords: star products
zbMATH Keywords: star exponential
zbMATH Keywords: Weyl algebra
zbMATH Keywords: symmetric matrices
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5823817