What work has been done on the post-AGI distribution of wealth?

Sam Altman has written up some of his related views: Moore's Law for Everything

He is also involved in Worldcoin, which aims to bootstrap a global currency by giving a share to every person.

You might be interested in the Future of Life Institute's AI worldbuilding competition (including my 2nd-place-winning entry), which asked people to imagine an optimistic future with AGI and includes several questions where participants detail how economies and wealth inequality have changed in a post-AGI world.  (In addition to stuff about daily-life and economics, the competition also had a big emphasis on the geopolitical balance of power between nations, and how AGI will be governed.)

Maybe you're asking about intra-country wealth distributions (like: how will AI affect each country's Gini coefficient?), but I've heard that ETIRI at the World Bank has done some research on how AI will affect wealth, unemployment, and trade from an international standpoint. Let me see if I can find some links to their work.