Existence of a closed star product

Hideki Omori; Yoshiaki Maeda; Akira Yoshioka

doi:10.1007/BF00420238

Existence of a closed star product

Hideki Omori, Yoshiaki Maeda, Akira Yoshioka

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

23 Citations (Scopus)

Abstract

On any symplectic manifold, we show the existence of a closed star product by constructing a Weyl manifold. There is also an involutive anti-automorphism on a Weyl manifold. By using this, a complexification relating to a quaternion ring is given.

Original language	English
Pages (from-to)	285-294
Number of pages	10
Journal	Letters in Mathematical Physics
Volume	26
Issue number	4
DOIs	https://doi.org/10.1007/BF00420238
Publication status	Published - 1992 Dec
Externally published	Yes

Keywords

Mathematics Subject Classifications (1991): 70H15, 58B30, 81S30

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00420238

Cite this

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title = "Existence of a closed star product",

abstract = "On any symplectic manifold, we show the existence of a closed star product by constructing a Weyl manifold. There is also an involutive anti-automorphism on a Weyl manifold. By using this, a complexification relating to a quaternion ring is given.",

keywords = "Mathematics Subject Classifications (1991): 70H15, 58B30, 81S30",

author = "Hideki Omori and Yoshiaki Maeda and Akira Yoshioka",

year = "1992",

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doi = "10.1007/BF00420238",

language = "English",

volume = "26",

pages = "285--294",

journal = "Letters in Mathematical Physics",

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T1 - Existence of a closed star product

AU - Omori, Hideki

AU - Maeda, Yoshiaki

AU - Yoshioka, Akira

PY - 1992/12

Y1 - 1992/12

N2 - On any symplectic manifold, we show the existence of a closed star product by constructing a Weyl manifold. There is also an involutive anti-automorphism on a Weyl manifold. By using this, a complexification relating to a quaternion ring is given.

AB - On any symplectic manifold, we show the existence of a closed star product by constructing a Weyl manifold. There is also an involutive anti-automorphism on a Weyl manifold. By using this, a complexification relating to a quaternion ring is given.

KW - Mathematics Subject Classifications (1991): 70H15, 58B30, 81S30

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U2 - 10.1007/BF00420238

DO - 10.1007/BF00420238

M3 - Article

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VL - 26

SP - 285

EP - 294

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

ER -

Existence of a closed star product

Abstract

Keywords

ASJC Scopus subject areas

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