Noncommutative differential geometric method to fractal geometry

被引：0
|
作者：
Lawrynowicz, J
Suzuki, O
机构：
[1] Univ Lodz, Inst Phys, Lodz, Poland
[2] Nihon Univ, Coll Humanities & Sci, Dept Comp & Syst Anal, Tokyo, Japan
来源：
GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES | 2003年 / 173卷
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Infinite dimensional Clifford algebras are discussed by use of fractal geometry and the following results are obtained which are stated as Theorems 1,11: (I)Cuntz algebras are introduced and infinite dimensional Clifford algebras are defined as the inductive limit of finite dimensional Clifford algebras in the Cuntz algebra. (2)Self similar fractal sets are introduced and representarions of infinite dimensional Clifford algebras on self similar fractal sets are constructed and criterions of their unitary equivalences are given.
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页码：473 / 476
页数：4
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