VECTOR-FIELDS ON COMPLEX QUANTUM GROUPS

被引：10

作者：

CHRYSSOMALAKOS, C

DRABANT, B

SCHLIEKER, M

WEICH, W

ZUMINO, B

机构：

[1] MAX PLANCK INST PHYS & ASTROPHYS,W-8000 MUNICH 40,GERMANY

[2] UNIV MUNICH,SEKT PHYS,LEHRSTUHL PROF WESS,W-8000 MUNICH 2,GERMANY

[3] LAWRENCE BERKELEY LAB,THEORET PHYS GRP,BERKELEY,CA 94720

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 147卷 / 03期

关键词：

D O I：

10.1007/BF02097246

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using previous results we construct the q-analogues of the left invariant vector fields of thc quantum enveloping algebra corresponding to the complex Lie algebras of type A(n-1), B(n), C(n), and D(n). These quantum vector fields are functionals over the complex quantum group A. In the special case A1 it is shown that this Hopf algebra coincides with U(q)sl(2, C).

引用

页码：635 / 646

页数：12

共 10 条

[1]

BURROUGHS N, 1987, COMMUN MATH PHYS, V133, P91

[2] BICOVARIANT DIFFERENTIAL-CALCULUS ON QUANTUM GROUPS SUQ(N) AND SOQ(N) [J].