PreprintarXiv licencearXiv
Gelfand--Tsetlin bases for representations of Uq(gln) at roots of unity
Abstract
In this paper, we construct Gelfand--Tsetlin bases for representations of Uq(gln) at roots of unity. As an application, we obtain explicit bases for certain baby Verma modules of Uq(gl3) and determine their composition series.
Related
BibTeX
@misc{chang2026gelfandtsetlin,
title = {{Gelfand--Tsetlin bases for representations of $\mathrm U_q(\mathfrakgl_n)$ at roots of unity}},
author = {Hao Chang and Ruiying Hou and Jian Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11471},
eprint = {2609.11471},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11471},
}
RIS
TY - UNPB
TI - Gelfand--Tsetlin bases for representations of U_q(gl_n) at roots of unity
AU - Hao Chang
AU - Ruiying Hou
AU - Jian Zhang
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11471
UR - https://arxiv.org/abs/2609.11471
AB - In this paper, we construct Gelfand--Tsetlin bases for representations of U_q(gl_n) at roots of unity. As an application, we obtain explicit bases for certain baby Verma modules of U_q(gl_3) and determine their composition series.
ER -