Heat olive oil over medium heat. Add onion, carrot and garlic and cook and stir until softened, about 10 minutes. Add split peas and stir. Add broth, chili powder, optional cayenne, salt and pepper. Simmer, covered, stirring occasionally, until split peas are tender, about 45 minutes. Add greens and simmer a few minutes more, depending on type and how fast it cooks. Add nutritional yeast and lemon juice and serve, sprinkled with paprika.