The autobiographical self that defines itself in relation to others is a right hemisphere skill. The self as an expression of will is a left hemisphere sort of self-understanding.
The right hemisphere knows the autobiographical self implicitly and intuitively, which allows us to see ourselves transparently, through our fascination with our actions in the world. When, as philosophers, we try to analyze our senses of our selves that self begins to fall apart and disintegrate.
The conscious will, the ability to focus oneself and take action is the responsibility of the left hemisphere.