限制型量子超群Oq(GL(1|1))’
Restricted Forms of Quantum Supergroups Oq(GL(1|1))′
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摘要: 令q为本原l-th单位根.用生成元和关系给出了超代数Oq(GL(1|1|1) ) '的定义, 证明其为Hopf超代数, 用Diamond引理刻画了其PBW基, 并详细计算了其左右积分.Abstract: Let q be a primitive l-th root of unity.This paper constructs finite dimensional Hopf superalgebra Oq(GL (1|1|1) ) ′, describes its basis via Diamond Lemma, and explicitly writes out the left and right integral.