I think jealousy is human nature. For some reason, it is part of all of us. No matter how hard you try to control this feeling it will come out from time to time. You will find people at work who are jealous of another person because they receive a promotion, they are skinny, everyone likes them, or for a million other reason. In cases like this, you must just move on and not let it bother you. I know it is hard to understand and cope with, but if you are a strong person then you can do this.
Just consider if the person is jealous of you then you must be doing something right and they can't do it. This should make you feel good or proud that you've achieved a promotion or was recommended for a special job. This person is jealous of you because they were asked. I have seen this for years and now I just think to myself, why be jealous, just try harder and work harder and next time it will be you.
You can always go up to this person and have a talk with them if it bothers you so much. Ask them what is wrong and what have you done to offend them to make them jealous of you. Try making friends with the person to understand them and see why they are jealous of you or others around you. That is the best way to deal with it.
Jealousy is even in families. My mom was so jealous of the relationship my father and I had and how we did so much together. Now that one is crazy he was my dad. I just didn't do anything with my mom because she never wanted to do anything with us. My dad did.