In a small bowl, combine all the braising liquid ingredients except the sesame oil and seeds. Stir well.
In a non-stick pan, sauté the potatoes in cooking oil over medium heat.
Add the sauce mix and bring it to a boil over high heat. Drop the carrot pieces in. Cover, and reduce the heat to medium and cook until the potatoes are almost cooked through. The potatoes should be firm.
Stir in the green peppers and onion, and continue to boil (uncover this time) until the sauce is reduced and slightly thickened. Stir in the sesame oil and sprinkle with sesame seeds.