The Fundamental Basis Theorem of Geometry from an algebraic point of view

被引:0
作者
Bekbaev, U. [1 ]
机构
[1] Int Islamic Univ Malaysia, Fac Engn, Dept Engn Sci, POB 10, Kuala Lumpur 50728, Malaysia
来源
37TH INTERNATIONAL CONFERENCE ON QUANTUM PROBABILITY AND RELATED TOPICS (QP37) | 2017年 / 819卷
关键词
D O I
10.1088/1742-6596/819/1/012013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An algebraic analog of the Fundamental Basis Theorem of geometry is offered with a pure algebraic proof involving the famous Waring's problem for polynomials. Unlike the geometry case the offered system of invariant differential operators is commuting, which is a new result even in the classical geometry of surfaces. Moreover the algebraic analog works in more general settings then does the Fundamental Basis Theorem of geometry.
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页数:10
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