Polynomial and polygonal connections between idempotents in finite-dimensional real algebras

被引:8
|
作者
Esterle, J [1 ]
Giol, J [1 ]
机构
[1] Univ Bordeaux 1, Lab Bordelais Anal & Geometrie, F-33405 Talence, France
关键词
D O I
10.1112/S0024609303002820
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let P(A) be the set of idempotents in a finite-dimensional real algebra A. Let p and q be idempotents that lie in the same component of P(A). Then, among the continuous paths connecting p and q in P(A), there exist a polynomial path of degree at most 3 and a polygonal path consisting of at most three segments.
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页码:378 / 382
页数:5
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