Let us note that, although one can not help feeling that in the abovepicture the actionαis somewhat privileged, there is no particular reasonto single outαsince we have one-to-one correspondenceαÐÑL(in theABL-context, of course). This simple observation is a starting point for the...
Notation and conventions. Unless otherwise stated,Gis a simply connected Lie group. The group identity element is denoted byethroughout, and we writePGfor the group of based paths inG. The Lie algebra ofGis denoted by. We identify the 1-spherewith the circle group. In places, there is an ...
In this section, we will prove the g-good-neighbor diagnosability of 𝐸𝐶𝑄(𝑠,𝑡)ECQ(s,t) by getting its upper and lower bounds separately, and the symbol 𝑡𝑚𝑔(𝐺)tgm(G) is applied to represent the 𝑔g-good-neighbor conditional diagnosability of G under the 𝑀𝑀...