In a bowl, combine mayonnaise, green onions, celery, lemon juice, salt, pepper, dill, and hot sauce.

Gently fold in the cooked lobster meat.

Cover the bowl and chill in the refrigerator for at least 10 minutes to allow flavors to meld.

While the lobster mixture chills, gently split the hoagie style buns, being careful not to separate them completely.

Spread butter generously on both halves of each bun.

Place the buttered buns under a broiler until they are nicely browned and toasted.

Remove the toasted buns from the broiler.

Spoon approximately 1/4 of the chilled lobster mixture onto each toasted bun.

Serve the lobster rolls immediately.