Braised Green Beans and Roasted Red Peppers

Name: Braised Green Beans and Roasted Red Peppers
Ingredients: 1 cup light olive oil; 1 fat clove of garlic, sliced very thinly.; 2 lemons; 2 tablespoons cider vinegar; 1 teaspoon sea salt, preferably Maldon; 1 teaspoon granualted sugar; 1/2 teaspoon dried oregano leaves; 1/2 teaspoon dried red pepper flakes; 1 pound yellow or green Romano beans, preferred, or green or yellow string beans, stem ends removed; 1 red pepper; 1/4 teaspoon coarse-ground black pepper; 1 ounce shaved Parmigiano-Reggiano, Parmesan, Romano, or aged Asiago