Short answer: yes.
Page 3 of the rulebook under "The Mage Ability Card" states the following:
"Your Mage is a creature, which means he may move around the arena and take actions. Note, for all purposes, your Mage is treated as a Level 6 creature."
As a side note, some cards specify "Non-Mage Creature" in the target line, so watch out for that!