Are There Any Hotkeys in the Game?

Yes. 

Here's the list of the most useful:

• Shift + left-click on an ingredient will toss it directly into the cauldron. 
• Control + left click on an ingredient to toss it into the mortar and pestle.
• Shift + left-click on an ingredient that a merchant is selling to transfer the whole stack to the trading area. 
• Ctrl + scroll wheel on an ingredient that a merchant is selling to add/remove ingredients from the trade area.
• Right-click on a potion to instantly put it on the scale for sale.
• R to open recipe book.
• L to open legendary recipes.
• G to open Alchemist's Path.
• T to open Talents.
• F5 for quicksave and F7, F8, or F9 for loading your quicksave. 
• Alt + Enter to switch between fullscreen and windowed mode.
• Ctrl + L or Shift + L for changing the game language.
• Ctrl + M to mute/unmute the music.
• Ctrl + S to mute/unmute the sound effects.
• Left-click on your potion symbol on the alchemy map so it centers on your screen.