Cook pasta according to package directions. Drain, add to a large bowl, and set aside to cool.
Prepare the pesto. In a food processor combine the cooked green split peas, pine nuts, parmesan cheese, basil leaves, cloves of garlic, lemon juice, and olive oil. Pulse until smooth. If the mixture is too thick, add in another tablespoon or two of olive oil.
In a large bowl toss together cooled pasta and pesto. Stir in tomatoes, sun dried tomatoes, olives, salt, pepper, and arugula. Garnish with optional parmesan cheese.
Serve immediately or store in the fridge for 1-2 days. Enjoy!