A Drinfeld type presentation of affine $ı$quantum groups I: split ADE type

Abstract

We establish a Drinfeld type new presentation for the $ı$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.

arXiv commentv2, 38 pages, mild revision, updated references, accepted for publication

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Cited by in corpus (6)

• The alternating central extension of the $q$-Onsager algebra
• The alternating presentation of $U_q(\widehat{g{l}_2})$ from Freidel-Maillet algebras
• A Drinfeld type presentation of affine $ı$quantum groups II: split BCFG type
• A conjecture concerning the $q$-Onsager algebra
• $ı$Hall algebra of the projective line and $q$-Onsager algebra
• The $q$-Onsager algebra and its alternating central extension