What does Krishna characteristics represent?

Lord Krishna has many characteristics. He is the Supreme Personality of Godhead, the Supreme Spirit, eternal, full of blissful knowledge. He is the Supreme Creator, controller, and proprietor of everything that exists.

The 9th and 10th Chapters of His Bhagavad-gita describe His characteristics in significant detail.

The Bhakti-Rasamrta-Sindhu by Srila Rupa Goswami describes 64 specific characteristics of Sri Krishna.

References: http://vedabase.net/bg/9/en http://vedabase.net/bg/10/en