A SERRE PRESENTATION FOR THE ıQUANTUM GROUPS

A SERRE PRESENTATION FOR THE ıQUANTUM GROUPS
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DOI:
10.1007/s00031-020-09581-5
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发表时间:
2020-06
影响因子:
0.7
通讯作者:
Xinhong Chen;Ming Lu;Weiqiang Wang
Xinhong Chen;Ming Lu;Weiqiang Wang
中科院分区:
数学3区
文献类型:
--
作者:
Xinhong Chen;Ming Lu;Weiqiang Wang

文献摘要

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Let (U,Uı) 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 theıquantum groupUıwith explicitıSerre relations. The verification of newıSerre relations is reduced to some newq-binomial identities. Consequently,Uıis shown to admit a bar involution under suitable conditions on the parameters.