Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension

被引：6

作者：

Aschieri, P ^{[1
]}

机构：

[1] Univ Calif Berkeley, Lawrence Berkeley Lab, Div Phys, Theoret Phys Grp, Berkeley, CA 94720 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 49卷 / 01期

基金：

美国国家科学基金会;

关键词：

real forms; automorphisms; q-Lorentz group; q-Minkowski space;

D O I：

10.1023/A:1007636508798

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review known real forms of the quantum orthogonal groups SOq(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SOq(N) that is complementary to the U-q(g) *-structure classification of Twietmeyer. In particular, we easily find and describe the real forms SOq(N-1,1) for any value of N. Quantum subspaces of the q-Minkowski space are analyzed.

引用

页码：1 / 15

页数：15

共 11 条

[1] Universal enveloping algebra and differential calculi on inhomogeneous orthogonal q-groups [J].

Aschieri, P ;

Castellani, L .

JOURNAL OF GEOMETRY AND PHYSICS, 1998, 26 (3-4) :247-271

[2] SOQ(N+1,N-1) AS A REAL FORM OF SOQ(2N,C) [J].

CELEGHINI, E ;

GIACHETTI, R ;

REYMAN, A ;

SORACE, E ;

TARLINI, M .

LETTERS IN MATHEMATICAL PHYSICS, 1991, 23 (01) :45-49

[3]

Cerchiai BL, 1998, EUR PHYS J C, V5, P553

[4]

DOBREV VK, 1995, PHYS LETT B, V346, P427

[5] CANONICAL Q-DEFORMATIONS OF NONCOMPACT LIE (SUPER-)ALGEBRAS [J].

DOBREV, VK .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (06) :1317-1334

[6]

Faddeev L D., 1990, LENINGRAD MATH J, V1, P193

[7] QUANTUM GROUPS SOQ(N), SPQ(N) HAVE Q-DETERMINANTS, TOO [J].

FIORE, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11) :3795-3802

[8]

Gilmore R., 1974, LIE GROUPS LIE ALGEB, DOI DOI 10.1063/1.3128987

[9]

HAUSNER M, 1968, LIE GROUPS LIE ALGEB

[10] REAL FORMS OF UQ(G) [J].

TWIETMEYER, E .

LETTERS IN MATHEMATICAL PHYSICS, 1992, 24 (01) :49-58

← 1 2 →