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A SERRE PRESENTATION FOR THE QUANTUM GROUPS
Transformation Groups ( IF 0.7 ) Pub Date : 2020-06-16 , DOI: 10.1007/s00031-020-09581-5 XINHONG CHEN , MING LU , WEIQIANG WANG
中文翻译:
量子组的SERRE表示
更新日期:2020-06-16
Transformation Groups ( IF 0.7 ) Pub Date : 2020-06-16 , DOI: 10.1007/s00031-020-09581-5 XINHONG CHEN , MING LU , WEIQIANG WANG
Let (U, ) be a quasi-split quantum symmetric pair of arbitrary Kac–Moody type, where “quasi-split” means the corresponding Satake diagram contains no black node. We give a presentation of the group with explicit relations. The verification of new relations is reduced to some new q-binomial identities. Consequently, is shown to admit a bar involution under suitable conditions on the parameters.
中文翻译:
量子组的SERRE表示
令(U,)为任意Kac-Moody类型的准分裂量子对称对,其中“准分裂”表示相应的Satake图不包含黑色节点。我们以明确的关系对小组进行介绍。新关系的验证被简化为一些新的q二项式恒等式。因此,显示出允许在适当条件下对参数进行条形对合。