Z3-graded differential geometry of the quantum plane

被引：13

作者：

Celik, S ^{[1
]}

机构：

[1] Yildiz Tech Univ, Dept Math, TR-34210 Istanbul, Turkey

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 30期

关键词：

D O I：

10.1088/0305-4470/35/30/308

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, the Z(3)-graded differential geometry of the quantum plane is constructed. The corresponding quantum Lie algebra and its Hopf algebra structure are obtained. The dual algebra, i.e. the universal enveloping algebra of the quantum plane is explicitly constructed.

引用

页码：6307 / 6318

页数：12

共 20 条

[1] ABRAMOV V, 2000, MATHPH0001041
[2] BAZUNOVA N, 2000, MATHPH0110007
[3] BREZEZINSKI T, 1992, LETT MATH PHYS, V26, P67
[4] ON THE QUANTUM DIFFERENTIAL-CALCULUS AND THE QUANTUM HOLOMORPHICITY
BRZEZINSKI, T
DABROWSKI, H
REMBIELINSKI, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (01) : 19 - 24
[5] REMARKS ON BICOVARIANT DIFFERENTIAL CALCULI AND EXTERIOR HOPF-ALGEBRAS
BRZEZINSKI, T
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1993, 27 (04) : 287 - 300
[6] Çelik SA, 2000, INT J MOD PHYS A, V15, P3237, DOI 10.1142/S0217751X00002056
[7] Cerchiai BL, 1999, EUR PHYS J C, V8, P547
[8] DUALITY FOR THE MATRIX QUANTUM GROUP GLP,Q(2,C)
DOBREV, VK
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (10) : 3419 - 3430
[9] Universal ZN-graded differential calculus
Dubois-Violette, M
Kerner, R
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 1997, 23 (3-4) : 235 - 246
[10] Dubois-Violette M., 1996, ACTA MATH U COMENIAN, VLXV, P175

← 1 2 →