UNITARY REPRESENTATIONS OF POINCARE GROUP P(1,n) IN SO(1,n)-BASIS

被引：0

作者：

Ostrovska, Olha ^{[1
]}

Yuryk, Ivan I. ^{[2
]}

机构：

[1] Natl Tech Univ Ukraine, Igor Sikorsky Kyiv Polytech Inst, Kiev, Ukraine

[2] Natl Univ Food Technol, Kiev, Ukraine

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2021年 / 27卷 / 03期

关键词：

Poincare group; irreducible representation; unitary representation; decomposition; IRREDUCIBLE REPRESENTATIONS; LORENTZ GROUP;

D O I：

10.31392/MFAT-npu26_3.2021.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the problem of reduction of unitary irreducible representations of the Poincare group P(1, n) with respect to representations of its subgroup SO(1, n). Based on a generalization of the Wigner-Eckart theorem, we obtain matrix elements of the shift operators in the SO(1, n)-basis.

引用

页码：258 / 276

页数：19

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