He focused on "suggestive dichotomies" such as inner/outer experience, segregation vs integration. He used figures, text, poetry, politics and images and was labeled a neo-expressionist and Primitivist.
Not sure about beat generation.
At the suggestion of Swiss art dealer Basquiat collaborated with Warhol for 2 years but Basquiat did not work for Warhol at "The Factory". Warhol was his friend and Basquiat was very upset when Warhol died.
Check out the film, "Basquiat" which is hollywood and mostly not true, but interesting
Better for accuracy film: "Downtown 81"