Second-order quantum argument shifts in $Ugl_d$

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

Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI:10.1134/S004057792408004X

Y. Ikeda

引用次数: 0

Abstract

We describe an explicit formula for the second-order quantum argument shifts of an arbitrary central element of the universal enveloping algebra of a general linear Lie algebra. We identify the generators of the subalgebra generated by the quantum argument shifts up to the second order.

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Ugl_d$$$中的二阶量子论点偏移

摘要我们描述了一般线性李代数的普遍包络代数的任意中心元的二阶量子论点移动的明确公式。我们确定了二阶量子论点移动所产生的子代数的生成器。

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.

Second-order quantum argument shifts in \(Ugl_d\)

Abstract