Preheat an indoor or outdoor grill to high.
In a bowl, combine the coriander, cumin, cardamom, chili powder, paprika and grill seasoning. And the juice of half a lemon, the garlic and about 3 tablespoons EVOO and stir until it is paste-like. Slather the mixture all over the chicken until it is well-coated.
Transfer to the grill and cook on each side for 6-7 minutes, until cooked through. Remove from the grill and let the chicken rest before thinly slicing. Once the chicken is working, preheat a large skillet over medium-high heat with 2 turns of the pan of EVOO, about 2 tablespoons. Once you see the oil ripple, add the onions and peppers, and season with some salt and pepper.