Let n be a positive integer,q a non-zero complex number,and hn(q)a q-Heisenberg algebra.In this paper,we first give the minimal Gröbner-Shirshov basis of hn(q)by calculating all the compositions between the skew commutator relations,and construct the PBW basis of hn(q)by taking the irreducible elements about this Gröbner-Shirshov basis.Then we prove some structural properties of hn(q).
维普
万方数据