Genesis 1:26 Dominion over the animals means...

'...And let them have dominion over the fish of the sea, and over the foul of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth.' -Genesis 1:26 Bible, King James Version

Apocalypse Explained, by Emanuel Swedenborg, [1757-9], tr. by John Whitehead [1911], at sacred-texts.com

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...[2] "The creatures of the sea" (or fishes) signify knowledges, because the "sea" signifies the natural man, and thus "fishes in the sea" signify the knowledges themselves that are in the natural man. This signification of "fishes" also is from correspondence, for the spirits that are not in spiritual truths, but only in natural truths, which are knowledges, appear in the spiritual world in seas, and when viewed by those who are above, as fishes; for the thoughts that spring from the knowledges with such present that appearance. For all the ideas of the thought of angels and spirits are turned into various representatives outside of them... [10] Like things are signified by these words in the first chapter of Genesis: And God said, We will make man in Our image, after Our likeness; that he may have dominion over the fish of the sea, and over the fowl of heaven, and over every animal that creepeth upon the earth (verses 26, 28). This chapter treats in the internal spiritual sense of the establishment of the Most Ancient Church, [before the flood] thus of the new creation or regeneration of the men of that church. That it was given to them to perceive all things of their affection which belong to the will, and to see all things of their thought which belong to the understanding, and to so rule over them as not to wander away into the lusts of evil and into falsities, is meant by "that he may have dominion over the fish of the sea, and the fowl of heaven, and every animal of the earth;" and man has dominion over these things when the Lord has dominion over man, for man of himself does not have dominion over anything in himself. "The fish of the sea, the fowl of heaven, and the beast of the field," have this signification because of their correspondence. The correspondences of the interior things of man with these things stand forth so as to be clearly seen in the spiritual world; for there beasts of every kind, and birds, and fishes in the seas, are seen, which nevertheless are nothing else than the ideas of thought that flow forth from affections, and these are presented under such forms because they are correspondences...