New approach to Hermitian q-differential operators on RNq

被引：0
作者：
Fiore, G
机构：
[1] Ist Nazl Fis Nucl, Sez Napoli, I-80125 Naples, Italy
[2] Univ Naples Federico II, Dipartimento Matemat & Applicaz, I-80125 Naples, Italy
来源：
Noncommutative Geometry and Representation Theory in Mathematical Physics | 2005年 / 391卷
关键词：
quantum algebra; differential geometry; mathematical physics;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We report on our recent breakthrough [F3] in the construction for q > 0 of Hermitean and "tractable" differential operators out of the U(q)so(N)-covariant differential calculus on the noncommutative manifolds RN (the so-called "quantum Euclidean spaces").
引用
收藏
页码：75 / 83
页数：9
相关论文
共 17 条
[1]   SOQ(N) COVARIANT DIFFERENTIAL-CALCULUS ON QUANTUM SPACE AND QUANTUM DEFORMATION OF SCHRODINGER-EQUATION [J].
CAROWWATAMURA, U ;
SCHLIEKER, M ;
WATAMURA, S .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 49 (03) :439-446
[2]   Geometrical tools for quantum Euclidean spaces [J].
Cerchiai, BL ;
Fiore, G ;
Madore, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 217 (03) :521-554
[3]  
CHU CS, 1995, P 20 INT C GROUP THE, P109
[4]   Differential calculi and linear connections [J].
Dimakis, A ;
Madore, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (09) :4647-4661
[5]  
Drinfeld V.G., 1990, Leningrad Math. J., V1, P1419
[6]  
Faddeev L D., 1990, LENINGRAD MATH J, V1, P193
[7]   THE EUCLIDEAN-HOPF ALGEBRA U-Q(E(N)) AND ITS FUNDAMENTAL HILBERT-SPACE REPRESENTATIONS [J].
FIORE, G .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (08) :4363-4405
[8]   Quantum group covariant (anti)symmetrizers, ε-tensors, vielbein, Hodge map and Laplacian [J].
Fiore, G .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (39) :9175-9193
[9]   REALIZATION OF U-Q(SO(N)) WITHIN THE DIFFERENTIAL ALGEBRA ON R(Q)(N) [J].
FIORE, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 169 (03) :475-500
[10]  
FIORE G, MATHQA0403463
12