GL（1|1）的GAUSS分解与非标准变形

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI:10.1016/S0034-4877(23)00010-1

Salih Celik

引用次数: 0

摘要

本文给出了两个超群的标准和非标准单参数变形，其中一个是下三角矩阵，另一个是上三角矩阵，并利用它们证明了超群GL(1|1)的双参数非标准变形是可以实现的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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GAUSS DECOMPOSITION AND NONSTANDARD DEFORMATION OF GL(1|1)

We present the standard and nonstandard one-parameter deformations of two supergroups, one of which is the lower and the other upper triangular matrices, and using these we show that the two-parameter nonstandard deformation of the supergroup GL(1|1) can be achieved.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.