Quantum and braided diffeomorphism groups

被引：6

作者：

Majid, S ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1998年 / 28卷 / 1-2期

关键词：

quantum groups; braided groups; diffeomorphism groups;

D O I：

10.1016/S0393-0440(98)00016-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a general theory of 'quantum' diffeomorphism groups based on the universal comeasuring quantum group M(A) associated to an algebra A, and its various quotients. Explicit formulae are introduced for this construction, as well as dual quasi-triangular and braided R-matrix versions. Among the examples, we construct the q-diffeomorphisms of the quantum plane yx = qxy, and recover the quantum matrices M-q (2) as q-diffeomorphisms respecting its braided group addition law. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：94 / 128

页数：35

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