THE HIDDEN GROUP-STRUCTURE OF QUANTUM GROUPS - STRONG DUALITY, RIGIDITY AND PREFERRED DEFORMATIONS

被引：48

作者：

BONNEAU, P ^{[1
]}

FLATO, M ^{[1
]}

GERSTENHABER, M ^{[1
]}

PINCZON, G ^{[1
]}

机构：

[1] UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 161卷 / 01期

关键词：

D O I：

10.1007/BF02099415

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A notion of well-behaved Hopf algebra is introduced; reflexivity (for strong duality) between Hopf algebras of Drinfeld-type and their duals, algebras of coefficients of compact semi-simple groups, is proved. A hidden classical group structure is clearly indicated for all generic models of quantum groups. Moyal-product-like deformations are naturally found for all FRT-models on coefficients and C(infinity)-functions. Strong rigidity (H(bi)2 = {0}) under deformations in the category of bialgebras is proved and consequences are deduced.

引用

页码：125 / 156

页数：32

共 24 条

[1] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].