Abstract:

Using elementary methods analogue to the classification of simple finite dimensional modules of quantum group Uq(sl2), all simple finite dimensional modules of quantum matrix algebra Mq(2) are classified. It turns out that when q is not a root of unity all simple finite dimensional modules are only with dimension 1, and when q is rth root of unity with odd r all simple modules are finite with dimension 1 and r.

Key words:  quantum matrix algebra; simple module; classification