Identification of the one-mode quadratic Heisenberg group with the projective group <mml:mstyle>PSU</mml:mstyle>(1,1) and holomorphic representation

Rebei Habib; Rguigui Hafedh; Riahi Anis; Alhussain Ziyad Ali

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Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation

机译：用投影群 PSU （1,1）和全象表示识别单模二次海森伯格组

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In this paper, we provide a new reformulation of the quadratic analogue of the Weyl relations. Especially, we offer some adjustments [10] on these relations and the corresponding group law, i.e., the quadratic Heisenberg group law. We provide a much more transparent description of the underlying manifold and we give a connection with the projective group PSU(1,1). Finally, we deduce such a holomorphic realization of the quadratic Heisenberg group.

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来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2020年第4期|共20页
作者
Rebei Habib; Rguigui Hafedh; Riahi Anis; Alhussain Ziyad Ali;
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作者单位

Qassim Univ Dept Math Coll Sci POB 6644 Buraydah 51452 Qassim Saudi Arabia;

Umm Al Qura Univ AL Qunfudhah Univ Coll Dept Math Mecca Saudi Arabia;

Majmaah Univ Coll Sci Al Zulfi Dept Math POB 66 Al Majmaah 11952 Saudi Arabia;

Majmaah Univ Coll Sci Al Zulfi Dept Math POB 66 Al Majmaah 11952 Saudi Arabia;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
One-mode quadratic Weyl operators; quadratic Heisenberg group; quadratic Weyl relations; the group PSU(1; 1);

机译：单模二次Weyl运营商;二次海森伯格集团;二次堰关系;PSU（1;1）;

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Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation

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