Clean and wash the carrots, leaving a little green. Bring a little salted water to the boil, cover the carrots and stew them for about 6 minutes.
Wash lemon thoroughly, grate dry and peel 2-3 strips of peel thinly with a peeler. Squeeze 1/2 lemon. Peel ginger and cut into thin slices.
Drain the carrots and collect the carrot water. Heat honey, ginger, lemon peel, 2 tbsp. lemon juice, oil and approx. 3 tbsp. carrot water in a large pan. Add the carrots and glaze for about 1 minute while turning.
Let it cool down.
Roast the sesame seeds in a pan without fat, remove them immediately and let them cool down. Remove lemon peel. Sprinkle carrots with sesame seeds and arrange on plates with crackers.