Yes, you can carry a 32-inch LED TV on a train, but it will be considered as a bulky item and will have to be booked and transported as luggage. You can book it as a “Luggage” item at the time of booking your train ticket or you can book it separately through the “Parcel” service provided by Indian Railways.
Please note that there are certain guidelines and rules that need to be followed while transporting electronic items on Indian Railways. The TV should be properly packed and secured to avoid any damage during transportation, and the weight and size should also be within the prescribed limits.
I would recommend that you check with the Indian Railways or the IRCTC website for more information on the guidelines and charges for carrying a TV on a train.