QUANTUM AND CLASSICAL PSEUDOGROUPS .2. DIFFERENTIAL AND SYMPLECTIC PSEUDOGROUPS

被引:44
作者
ZAKRZEWSKI, S
机构
[1] Department of Mathematical Methods in Physics, Faculty of Physics, University of Warśaw, Warszawa, PL-00-682
关键词
D O I
10.1007/BF02097707
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The category of sympletic pseudospaces (analogical to the category of pseudospaces in the sense of [2]) is introduced and used to define symplectic pseudogroups (structures analogical to pseudogroups [3] or quantum groups [4]). It is shown that symplectic pseudogroups are in one-to-one correspondence with Manin groups, also introduced in this paper. The set-theoretical part of these structures has been described in [I]. © 1990 Springer-Verlag.
引用
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页码:371 / 395
页数:25
相关论文
共 16 条
[1]  
BENENTI S, 1981, JOURNEES FERMAT
[2]  
Benenti S., 1982, P INT M GEOM PHYS FL, P11
[3]  
COSTE A, 1987, PUBL DEP MATH U LY A, V2
[4]  
Drinfeld V. G., 1986, P ICM BERKELEY, V1, P789
[5]  
LU JH, 1990, J DIFFER GEOM, V31, P501
[6]   DRESSING TRANSFORMATIONS AND POISSON GROUP-ACTIONS [J].
SEMENOVTIANSHANSKY, MA .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1985, 21 (06) :1237-1260
[7]  
SZYMCZAK I, IN PRESS QUANTUM DEF
[8]  
TULCZYJEW WM, IN PRESS DIFFERENTIA
[9]  
TULCZYJEW WM, IN PRESS MEM ACCAD S
[10]  
TULCZYJEW WM, 1987, MEM ACAD SCI TORINO, V121, P46