I have found that under LyX 1.3.6 and 1.3.7cvs, if I follow the following steps I get a crash.
1. Enter mathmode 2. type: T_E X 3. move the cursor before the E 4. press delete 5. press the up arrow twice. This bug does not occur in 1.4.0pre3. My system: Kubuntu 5.10, gcc 4.02, QT 3.3.4, KDE 3.5 -- John C. McCabe-Dansted Masters Student