You just described my front yard. Huge Norway maple, great canopy in the summer time that keeps much of our house shaded. Water hog that kills grass. Kept us from putting solar panels on the roof.Norway maples were planted along streets here in the late fifties and sixties as part of greening America, Arbor dy campaigns. They were fast growing and certainly did provide relief from heat with their shade real quick. Unfortunately as they matured, their dense canopy kept light from lawn under them and their intensive root system ( other maples are just as bad sometimes) sucked away water. Lawns quickly became dry deserts under their canopy. Seeds blew into the woods and norway maples started pushing out and overtaking native species. Some of them that got a foothold in gardens along fences have become huge and start doing damage dropping limbs and whole sections of trees in wind storms.
I once made the mistake of having a compost pile ( mostly Norway maple leaves and lawn clippings, LOL ) under one. The whole pile had become a massive maple tree root ball by the time I went to turn it over.. and I had to chop the "compost pile" off of the lawn with an axe .
I like taking a saw to them !