There isn’t a simple way of doing this. The slider currently only sits in the home page.
To have a slider appear on a category page you would need to customise the category.php file in the theme which is used by WordPress when a specific category is being viewed. Or create a new page template (customising the blog template which can be used to pull posts from different categories would be a good starting place).
You would need also to integrate the slider into either of these options to make it work or use a slider plugin that does this for you.
This isn’t a five minute job or one that can be fully detailed here. And it does depend how much coding experience you have.