When we read this verse with human eyes and with our sinful hearts, we may think that God is being proud, or that He is a megalomaniac, saying that He will not share His glory with no other.
But such thoughts are blasphemy and Satanic, on multiple levels. I'll explain why.
The main reason is that, the reason why God does not give His glory to no other, that is, to creatures, is because God is LOVE. It is because He is loving to His creation that He does not give glory to them, and has it for himself. But why is this?
God the Creator alone is NATURALLY the one who alone deserves all the glory and honour. Why? Simply because He is the Creator, the Origin of all things that are existing. Everything owes its existence to Him. Nothing would never "be", if the great I AM THAT I AM called them into existence by His very command. He is the one who made all things, sustains all things, gives all things life and their beauty.
And glory and honour or WORSHIP must be preserved for the Creator alone. This is because only GOD can "handle" praise, glory, honour, worship and thanksgiving. Give praise, glory, honour and worship to a human being, and what happens? That person becomes proud, detestable and vile.The way to destroy a person is to praise him to death. Human beings don't know what to do with glory! They cannot handle it. It is like asking a child to handle a poisonous serpent. Human beings were not designed for glory.
This is why, God, in HIS LOVE, says, "I will give my glory to no other". He doesn't want to see his poor creatures destroyed with something they can't handle. This is perhaps then why famous people are often humbled with failures and disasters. It's all part of God's love.
It was the devil, the ex-angel, that took to himself glory, as though he can handle it. But it killed him. It made him an eternal slave to sin and condemnation.
Let us therefore thank God, and dare not to touch His glory. If we are to glory, let us glory in the Cross of Jesus Christ, upon which our dear Saviour became a laughingstock, so that we may have His glory, humbly, through an appreciation of His death. Blessed me to God our saviour.