How to Make It
In a small bowl, combine the lime juice, chile, salt and the 2 tablespoons of vegetable oil.
In a large skillet, heat 1/8 inch of vegetable oil over moderately high heat, until almost smoking. Add as many tortilla quarters as will fit without overlapping and fry until crisp and golden, about 2 minutes per side. Transfer the chips to paper towels to drain and repeat with the remaining tortillas.
In a large bowl, toss the greens with 1 1/2 tablespoons of dressing. Mound the greens on a large platter. Add the mango, black beans, onion and 3 tablespoons of dressing to the bowl and toss, then arrange over the greens. Distribute the shrimp on top, then crumble the cheese over the salad. Arrange the tortilla chips around the platter to use as scoops and serve.