Melt the butter with the olive oil in a large frying pan over medium heat. Add the garlic and cook, stirring, for 1 minute. Pour in the white wine and simmer until it has reduced by half. Add the lemon zest and cream, and simmer until slightly reduced, for another 3 to 4 minutes. Season with salt and pepper, to taste.
Meanwhile, cook the pasta according to the package instructions in a large pan of lightly salted boiling water, until al dente. Add the peas to the boiling pasta 3 minutes before the end of the cooking process. Drain the ingredients well and toss the hot pasta with the sauce. Serve immediately with grated Parmesan.