On two versions of holomorphic quantum plane

O. Yu Aristov

doi:10.1016/j.geomphys.2026.105926

On two versions of holomorphic quantum plane

O. Yu Aristov^*

^*Corresponding author for this work

School of Mathematics

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

Abstract

We find power series descriptions of two versions of holomorphic quantum plane, the Arens–Michael envelope and the envelope with respect to the class of Banach PI algebras, in the case of non-unitary parameter.

Original language	English
Article number	105926
Journal	Journal of Geometry and Physics
Volume	228
DOIs	https://doi.org/10.1016/j.geomphys.2026.105926
State	Published - Oct 2026

Keywords

Arens–Michael envelope
Envelope with respect to the class of Banach PI algebras
Quantum plane

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10.1016/j.geomphys.2026.105926

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title = "On two versions of holomorphic quantum plane",

abstract = "We find power series descriptions of two versions of holomorphic quantum plane, the Arens{\textendash}Michael envelope and the envelope with respect to the class of Banach PI algebras, in the case of non-unitary parameter.",

keywords = "Arens{\textendash}Michael envelope, Envelope with respect to the class of Banach PI algebras, Quantum plane",

author = "Aristov, \{O. Yu\}",

note = "Publisher Copyright: {\textcopyright} 2026",

year = "2026",

month = oct,

doi = "10.1016/j.geomphys.2026.105926",

language = "英语",

volume = "228",

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KW - Arens–Michael envelope

KW - Envelope with respect to the class of Banach PI algebras

KW - Quantum plane

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DO - 10.1016/j.geomphys.2026.105926

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SN - 0393-0440

VL - 228

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 105926

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On two versions of holomorphic quantum plane

Abstract

Keywords

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