Convergent Star Product Algebras on 'ax + b'

Pierre Bieliavsky; Yoshiaki Maeda

doi:10.1023/A:1022211827438

Convergent Star Product Algebras on 'ax + b'

Pierre Bieliavsky, Yoshiaki Maeda

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We define nontempered (exponential growth) function spaces on the Lie group ax + b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory.

Original language	English
Pages (from-to)	233-243
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	62
Issue number	3
DOIs	https://doi.org/10.1023/A:1022211827438
Publication status	Published - 2002 Dec 1

Keywords

Invariant star products
Strict deformation quantization
Universal deformation formulas

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1023/A:1022211827438

Cite this

@article{ec0490f92d1147ec96a5c3786133449f,

title = "Convergent Star Product Algebras on 'ax + b'",

abstract = "We define nontempered (exponential growth) function spaces on the Lie group ax + b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory.",

keywords = "Invariant star products, Strict deformation quantization, Universal deformation formulas",

author = "Pierre Bieliavsky and Yoshiaki Maeda",

year = "2002",

month = dec,

day = "1",

doi = "10.1023/A:1022211827438",

language = "English",

volume = "62",

pages = "233--243",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Convergent Star Product Algebras on 'ax + b'

AU - Bieliavsky, Pierre

AU - Maeda, Yoshiaki

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We define nontempered (exponential growth) function spaces on the Lie group ax + b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory.

AB - We define nontempered (exponential growth) function spaces on the Lie group ax + b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory.

KW - Invariant star products

KW - Strict deformation quantization

KW - Universal deformation formulas

UR - http://www.scopus.com/inward/record.url?scp=0442267254&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0442267254&partnerID=8YFLogxK

U2 - 10.1023/A:1022211827438

DO - 10.1023/A:1022211827438

M3 - Article

AN - SCOPUS:0442267254

SN - 0377-9017

VL - 62

SP - 233

EP - 243

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

Convergent Star Product Algebras on 'ax + b'

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this