GRADED CONTRACTIONS AND KINEMATICAL GROUPS OF SPACE-TIME

被引:32
作者
DEMONTIGNY, M [1 ]
PATERA, J [1 ]
TOLAR, J [1 ]
机构
[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,PQ,CANADA
关键词
D O I
10.1063/1.530893
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
G-graded contractions of the complex Lie algebra B, and of its real forms are considered. It is found that a particular G=Z(2)XZ(2) is a proper choice of the grading group preserved when graded contractions leading to Lie algebras of the kinematical groups of space-time are studied.
引用
收藏
页码:405 / 425
页数:21
相关论文
共 23 条
[1]   POSSIBLE KINEMATICS [J].
BACRY, H ;
LEVYLEBL.JM .
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (10) :1605-&
[2]   DISCRETE AND CONTINUOUS GRADED CONTRACTIONS OF LIE-ALGEBRAS AND SUPERALGEBRAS [J].
DEMONTIGNY, M ;
PATERA, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (03) :525-547
[3]  
DEMONTIGNY M, 1992, THESIS U MONTREAL
[4]   HOOKES SYMMETRIES AND NONRELATIVISTIC COSMOLOGICAL KINEMATICS .1. [J].
DEROME, JR ;
DUBOIS, JG .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B, 1972, B 9 (02) :351-&
[5]   ON A CLASS OF GENERALIZED GROUP CONTRACTIONS [J].
DOEBNER, HD ;
MELSHEIM.O .
NUOVO CIMENTO A, 1967, 49 (02) :306-+
[6]   ON DEFORMATION OF RINGS + ALGEBRAS [J].
GERSTENHABER, M .
ANNALS OF MATHEMATICS, 1964, 79 (01) :59-&
[7]  
GILMORE R, 1974, LIE GROUPS LIE ALGEB, pCH10
[8]  
HELGASON S., 1978, DIFFERENTIAL GEOMETR
[9]  
Humphreys J.E., 1978, INTRO LIE ALGEBRAS R, V9
[10]   ON A PARTICULAR TYPE OF CONVERGENCE TO A SINGULAR MATRIX [J].
INONU, E ;
WIGNER, EP .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1954, 40 (02) :119-121