On fine gradings and their symmetries

被引：16

作者：

Patera, J

Havlícek, M

Pelantová, E

Tolar, J

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Doppler Inst Math Phys, CZ-11519 Prague, Czech Republic

来源：

CZECHOSLOVAK JOURNAL OF PHYSICS | 2001年 / 51卷 / 04期

关键词：

D O I：

10.1023/A:1017501925328

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper fine gradings of gl(n, C) associated with the Pauli matrices in n dimensions are studied with the subsequent graded contractions of sl(n, C) in view. It is shown that, if n greater than or equal to 3 is a prime, the discrete symmetries of the gradings involve the special n-dimensional representations of SL(2, F-n), where F-n is the finite field of order n. These symmetries may be used to simplify the system of contraction equations.

引用

页码：383 / 391

页数：9

共 23 条

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BALIAN R, 1986, CR ACAD SCI I-MATH, V303, P773

[2] GRADED CONTRACTIONS OF SL(3,C) [J].