Season the lobster meat with salt, to taste, and set aside. Using a sharp knife, chop
1 lobster shell.
In a saucepan
, over medium heat, combine the butter and chopped lobster shells. Melt
the butter and simmer
over low for about 10 minutes. Remove and strain
In a saute pan, over medium heat, add 2 tablespoons of the lobster butter
. When the butter is hot, add the diced lobster and saute for 2 minutes.
To assemble, form 1 cup of the potatoes into a circle, in the center of each plate. Spoon 1/4 of the lobster of each circle of potatoes. Spoon 1/4 of the butter, or to taste, around each circle of potatoes. Arrange 1/4 of the cheese on top of each plate of lobster. Mound the arugula on top of the cheese. Garnish