Specialization maps for shuffle algebras of type $B_{n}$ and $G_{2}$
Quantum Algebra
2023-05-03 v3 Combinatorics
Rings and Algebras
Abstract
We define a filtration of Feigin-Odesskii's shuffle algebras of type B_n and G_2 using specialization maps, generalizing the results in type A_n case given by Negut and Tsymbaliuk. These filtrations are compatible with a class of PBW type bases for the quantum current algebras of type B_n and G_2.
Keywords
Cite
@article{arxiv.2206.12806,
title = {Specialization maps for shuffle algebras of type $B_{n}$ and $G_{2}$},
author = {Yue Hu},
journal= {arXiv preprint arXiv:2206.12806},
year = {2023}
}
Comments
The paper has been withdrawn by the author since it is replaced by a majorly corrected and upgraded version, see arXiv:2305.00810, where we corrected some errors and upgraded the results by establishing the shuffle algebra realization of integral forms of quantum loop algebras and Yangians in type B_n and G_2