Would Nexus 4 bought from UK work in India? I bought a Google Nexus 4 LG make from UK, will it work in India?
I'm pretty sure there is only one model of the Nexus 4. It should work with no problems.

On the off chance that there are problems, there were also different radio images released for different areas. Almost all of them (if not all) can be found over here, on XDA Developers. The version for India is 0.54.

If needed, these images can be flashed using fastboot or possibly using a custom-recovery. 

As long as your carrier in India uses a frequency that the Nexus 4 supports, the hardware itself isn't locked to any geographical location. 

From GSMArena:

2G Networks:


GSM 850 / 900 / 1800 / 1900


3G Networks:


HSDPA 850 / 900 / 1700 / 1900 / 2100
HSDPA 900 / 2100