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.

v2, 38 pages, mild revision, updated references, accepted for publication

References in corpus (4)

• A Drinfeld type presentation of affine $ı$quantum groups II: split BCFG type
• $ı$Hall algebra of the projective line and $q$-Onsager algebra
• A conversation around the analysis of the SiP effort estimation dataset
• Braid group symmetries on quasi-split $ı$quantum groups via $ı$Hall algebras

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