UNITARY REPRESENTATIONS OF THE DIFF-RN GROUP

被引:3
作者
BORISOV, AB
机构
[1] Institute of Physics of Metals, Ural Scientific Center, Academy of Sciences, Sverdlovsk
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 10期
关键词
D O I
10.1088/0305-4470/12/10/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new series of unitary representations of the general covariant group in N-dimensional real vector space (group Diff RN) is constructed. The matrix elements of the finite transformations in the space of the principal series of unitary representations of the special linear group SL(N,R)(N>3) and in the space of all series of unitary representations of SL(2,R), SL(3,R) are found.
引用
收藏
页码:1625 / 1631
页数:7
相关论文
共 5 条
[1]   UNITARY REPRESENTATIONS OF GENERAL COVARIANT GROUP-ALGEBRA [J].
BORISOV, AB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (06) :1057-1067
[2]  
HELGASON S, 1962, DIFFERENTIAL GEOMETR, pCH6
[3]  
SINGER IM, 1965, J ANAL MATH, V15, P3
[4]  
VERSHIK AM, 1975, USP MAT NAUK, V30, P3
[5]  
WARNER G, 1972, HARMONIC ANAL SEMISI, V1, pCH5