One day one of Vivekananda's disciples approached him. Vivekananda was very happy with this disciple and said to him, "Ask me for something, and I shall give it to you."
The disciple said, "I have read your lectures on Maya and I want to know more about what it is."
Vivekananda replied, "Ask me for something else."
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Maya can be difficult to describe. Vivekananda has described it as time/space/causation. I agree with that assessment.
I understand it as the illusory reality that keeps living beings from realizing their true nature as Brahman.
Imagine you're dreaming. Your character in the dream doesn't realize s/he's dreaming, and is ignorant to the fact that their true nature is the person asleep in a bed creating this dream reality. That is what I typically use as a rudimentary description for Maya.
Here is one of my favorite talks Vivekananda gives on Maya given by him in London in 1896:
https://en.wikisource.org/wiki/The_...ekananda/Volume_2/Jnana-Yoga/Maya_and_Freedom
Here is a great lecture given by Swami Sarvapriyananda, the head of the Vedanta Society of New York: