The self-schema refers to a long lasting and stable set of memories that summarize a person's beliefs, experiences and generalizations about the self, in specific behavioral domains. A person may have a self-schema based on any aspect of himself or herself as a person, including physical characteristics, personality traits and interests, as long as they consider that aspect of their self important to their own self-definition.
For example, someone will have an extroverted self-schema if they think of themselves as extroverted and also believe that their extroversion is central to who they are. Their self-schema for extroversion may include general self-categorizations ("I am sociable."), beliefs about how they would act in certain situations ("At a party I would talk to lots of people") and also memories of specific past events ("On my first day at university I made lots of new friends").
The term schematic describes having a particular schema for a particular dimension. For instance, a person in a rock band at night would have a "rocker" schema. However, during the day, if he works as a salesperson, he would have a "salesperson" schema during that period of time. Schemas vary according to cultural background and other environmental factors.
Once people have developed a schema about themselves, there is a strong tendency for that schema to be maintained by a bias in what they attend to, in what they remember, and in what they are prepared to accept as true about themselves. In other words, the self-schema becomes self-perpetuating. The self-schema is then stored in long-term memory, which both facilitates and biases the processing of personally relevant information. Individuals who form a self-schema of a person with good exercise habits will then in return exercise more frequently.
The term aschematic means not having a schema for a particular dimension. This usually occurs when people are not involved with or concerned about a certain attribute. For example, if a person plans on being a musician, a self-schema in aeronautics will not apply to him; he is aschematic on aeronautics.