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A Drinfeld type presentation of affine imathquantum groups I: split ADE type

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arxiv 2009.04542 v2 pith:QBCBBY6F submitted 2020-09-09 math.RT math.QA

A Drinfeld type presentation of affine imathquantum groups I: split ADE type

classification math.RT math.QA
keywords presentationquantumtypeaffinedrinfeldgroupsimathsplit
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We establish a Drinfeld type new presentation for the $\imath$quantum groups arising from quantum symmetric pairs of split affine ADE type, which includes the $q$-Onsager algebra as the rank 1 case. This presentation takes a form which can be viewed as a deformation of half an affine quantum group in the Drinfeld presentation.

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