Shortcuts of split view
macOS Catalina 10.15 onwards


Go to System Preferences -> Keyboard -> Shortcuts -> App Shortcuts
Click on the '+' icon
Set the fields to tile a window to the left or right. For eg:


Application: All Applications
Menu Title: Tile Window to Left of Screen 
Keyboard Shortcut: Shift + ⌘ + L 





Your newly created shortcut is now visible in the dropdown menu over the full screen button!



Note: You need to exit fullscreen to be able to use the split screen shortcut.