Typing Classical Greek Text in LyX

[Jon Riding]

I'm new to LyX and trying to discover whether LyX can handle 
an English document which includes words and phrases in Greek.

Given that the Greek character set (including composites of 
base characters and breathings/diacritics) is defined in 
Unicode I figured I should be able to tell LyX to map my 
(English) keyboard to the Greek code points I want in Unicode.

Is this possible or is LyX simply not the tool I should be 
using for this sort of thing?  If it can be done where can I 
find out how?  Any assistance much appreciated.

JonR.