Not that I know of, but here are some between Lemmy and Mastodon:

• Upvotes in Lemmy don’t translate to favorites in Mastodon
• From the Mastodon side communities are normal accounts that boost published posts.
• From Mastodon Lemmy’s posts are top-level messages (i.e. not a response), and comments are responses to the original message.
• You can post to a Lemmy community from Mastodon by publishing a post and tagging the community (@community_name@server.tld)

Very nice, although I guess most communities in an instance are moderated by users from that same instance.

You can still subscribe to everything from Lemmy.world and your instance will remain up even when Lemmy.world is down.

I had no idea, just tried and you are right. Do you know if everything works the same, like moderation?