dc.description |
According to the canonical isomorphism between
the positive part U+
q (g) of the Drinfeld–Jimbo quantum group
Uq(g) and the generic composition algebra C(¢) of ¤, where the
Kac–Moody Lie algebra g and the finite dimensional hereditary al-
gebra ¤ have the same diagram, in specially, we get a realization
of quantum root vectors of the generic composition algebra of the
Kronecker algebra by using the Ringel–Hall approach. The com-
mutation relations among all root vectors are given and an integral
PBW–basis of this algebra is also obtained. |
uk_UA |