The description of Brahma like those of other deities of Hinduism bears a mystic symbolism. The lotus represents the Reality. Brahma sitting on the lotus indicates that he is ever-rooted in the infinite Reality. Reality is the foundation on which his personality rests. The four faces of Brahma represent the four Vedas. They also symbolise the functioning of the inner personality (antahkarana) which consists of thoughts. They are the mind (manas), the intellect (buddhi), ego (ahamkara) and conditioned-consciousness (chitta). They represent the four ways in which thoughts function. They are the manifestations of the unmanifest Consciousness.
The animal hide worn by Brahma stands for austerity. A seeker who desires to realise his godhead must first go through spiritual disciplines. Observing such austerities the seeker must carefully study and reflect upon the scriptural truths which are suggested by the manuscript (Vedas) held in one hand. Having acquired the knowledge of scriptures he must work in the world without ego and egocentric desires, that is engage in dedicated and sacrificial service for the welfare of the world. This idea is suggested by the sacrificial implement held in the second hand. When a man works in the world selflessly he drops his desires. He is no longer extroverted, materialistic, sensual. His mind is withdrawn from its preoccupations with the world of objects and beings. Such a mind is said to be in uparati. A man who has reached the state of uparati is in a spirit of renunciation.
That is indicated by Brahma holding the kamandalu in his hand. Kamandalu is a water-pot used by a sanyasi-a man of renunciation. It is a symbol of sanyasa or renunciation. The mind of such a man which is withdrawn from the heat of passion of the world is available for deeper concentration and meditation. The rosary (mala) in the fourth hand is meant to be used for chanting and meditation. Meditation is the final gateway to Realisation. Through deep and consistent meditation the mind gets annihilated and the seeker attains godhood. A god-man maintains his identity with his supreme Self while he is engaged in the world of perceptions, emotions and thoughts. He retains the concept of unity in diversity. He separates the pure unconditioned consciousness underlying this conditioned world of names and forms. Brahma's association with a swan is most appropriate in this context.
A swan is described in Hindu mysticism as possessing the unique faculty of separating pure milk from a mixture of milk and water. It is reputed to have the ability to draw the milk alone and leave the water behind. Similarly does a man of Realization move about in the world recognizing the one divinity in the pluralistic phenomena of the world.
Brahma is the "father of all" and has traditionally been recognized as the creator God.
Brahma is depicted he is show with four, crowned, bearded heads—each facing towards one of the cardinal points—and has eight arms, in which he carries: 1) the four Vedas, 2) a rosary, 3) a pot with holy water, 4) a scepter, 5) a spoon, 6) a disc, 7) a fly whisk, and 8) a lotus flower.
Brahma is also known Ishwara or Mahanshakti. His shakti is Saraswati, the Goddess of knowledge, music and poetry. She is often depicted holding a musical instrument in her hand. The swan (or goose), a symbol of knowledge, is the mount for both Brahma and Saraswati. Brahma is also sometimes recognized as the "Self," and is represented by "Om," the sound with no form.