The Bhagavad Gita with Commentaries of Ramanuja, Madhva, Shankara and Others.
Bhagavad Gita 8.3
http://www.bhagavad-gita.us/articles/363/1/Bhagavad-Gita-83/Page1.html
By Bhagavan Sri Krishna
 

Text 3

sri-bhagavan uvaca
aksharam brahma paramam
svabhavo ’dhyatmam ucyate
bhuta-bhavodbhava-karo
visargah karma-samjnitah

Translation

The Supreme Personality of Godhead said: The indestructible, transcendental living entity is called Brahman, and his eternal nature is called adhyatma, the self. Action pertaining to the development of the material bodies of the living entities is called karma, or fruitive activities.

Commentary by Srila Prabhupada

Brahman is indestructible and eternally existing, and its constitution is not changed at any time. But beyond Brahman there is Parabrahman. Brahman refers to the living entity, and Parabrahman refers to the Supreme Personality of Godhead. The constitutional position of the living entity is different from the position he takes in the material world. In material consciousness his nature is to try to be the lord of matter, but in spiritual consciousness, Krishna consciousness, his position is to serve the Supreme. When the living entity is in material consciousness, he has to take on various bodies in the material world. That is called karma, or varied creation by the force of material consciousness. 

In Vedic literature the living entity is called jivatma and Brahman, but he is never called Parabrahman. The living entity (jivatma) takes different positions—sometimes he merges into the dark material nature and identifies himself with matter, and sometimes he identifies himself with the superior, spiritual nature. Therefore he is called the Supreme Lord’s marginal energy. According to his identification with material or spiritual nature, he receives a material or spiritual body. In material nature he may take a body from any of the 8,400,000 species of life, but in spiritual nature he has only one body. In material nature he is manifested sometimes as a man, demigod, animal, beast, bird, etc., according to his karma. To attain material heavenly planets and enjoy their facilities, he sometimes performs sacrifices (yajna), but when his merit is exhausted he returns to earth again in the form of a man. This process is called karma. 

The Chandogya Upanishad describes the Vedic sacrificial process. On the sacrificial altar, five kinds of offerings are made into five kinds of fire. The five kinds of fire are conceived of as the heavenly planets, clouds, the earth, man and woman, and the five kinds of sacrificial offerings are faith, the enjoyer on the moon, rain, grains and semen. 

In the process of sacrifice, the living entity makes specific sacrifices to attain specific heavenly planets and consequently reaches them. When the merit of sacrifice is exhausted, the living entity descends to earth in the form of rain, then takes on the form of grains, and the grains are eaten by man and transformed into semen, which impregnates a woman, and thus the living entity once again attains the human form to perform sacrifice and so repeat the same cycle. In this way, the living entity perpetually comes and goes on the material path. The Krishna conscious person, however, avoids such sacrifices. He takes directly to Krishna consciousness and thereby prepares himself to return to Godhead. 

Impersonalist commentators on the Bhagavad-gita unreasonably assume that Brahman takes the form of jiva in the material world, and to substantiate this they refer to Chapter Fifteen, verse 7, of the Gita. But in this verse the Lord also speaks of the living entity as “an eternal fragment of Myself.” The fragment of God, the living entity, may fall down into the material world, but the Supreme Lord (Acyuta) never falls down. Therefore this assumption that the Supreme Brahman assumes the form of jiva is not acceptable. It is important to remember that in Vedic literature Brahman (the living entity) is distinguished from Parabrahman (the Supreme Lord).

Commentary by Sri Visvanatha Cakravarti Thakur

The Lord answers. What is supreme and does not get destroyed, what is eternal is called brahman. The sruti says etad vai tad aksaram gargi brahmana abhivadanti: the knowers of brahman call that Brahman, the indestructible (aksaram). (Brhad Aranyaka Upanisad 3.8.8)

Svabhava means "that which produces one's self (svam bhavayati), from imposition of a body." In other words, it means the jiva, since it creates the body. The jiva is called adhyatma. Or the meaning of svabhdva can be "that which causes one to attain the paramatma (svam meaning the Lord in this case). In this case, adhyatma refers to the purified jiva.

The word karma refers to transmigration (visarga) of the jiva, the creation of bodies (bhava) through the material elements (bhuta). It is called karma because it is produced from actions.