Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case
Abstract
We study the prefundamental modules over the Borel subalgebras of the twisted quantum loop algebras, which are introduced by Wang. A character formula for is obtained from that for the prefundamental modules over the untwisted quantum loop algebras by applying a character folding map. This allows us to realize minuscule prefundamental modules for types and in terms of the unipotent quantum coordinate ring associated with the -th level fundamental weight, where for type and for type . This result is a continuation of the realization of (co)minuscule prefundamental modules established by earlier works [J-Kwon-Park, Int. Math. Res. Not., 2023] and [J-Kwon-Park, J. Algebra, 2025].
Cite
@article{arxiv.2512.02946,
title = {Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case},
author = {Il-Seung Jang},
journal= {arXiv preprint arXiv:2512.02946},
year = {2025}
}
Comments
v2: 29 pages, revised proof of Theorem 6.7, minor corrections; v1: 28 pages