Final answer:
The specialized Stormtroopers for snowy environments are called Snow Troopers, first seen in The Empire Strikes Back.
Step-by-step explanation:
The type of Stormtrooper specialized for combat in snowy environments in the Empire Era is known as Snow Trooper. These troopers were first introduced in Star Wars Episode V: The Empire Strikes Back, during the Battle of Hoth, a snowy, icy planet. They are equipped with specially designed armor and gear that allows them to operate effectively in cold climates, distinguishable from regular Stormtroopers by their unique, insulated armor suits and helmets with built-in breath filters to keep the harsh conditions of frosty environments at bay.