3 papers
math.GR2026
Finite basis problem for involution semigroups of order four
Meng Gao, Wen Ting Zhang, Yan Feng Luo
Recently, we have found a non-finitely based involution semigroup of order five. It is natural to question what is the smallest order of non-finitely based involution semigroups. I…
math.GR2026
Representations and identities of involution Plactic-like monoids arising from the meet of the stalactic congruence and its dual
Bin Bin Han, Wen Ting Zhang, Yan Feng Luo
Let be the plactic-like monoid obtained by factoring the free monoid over a finite alphabet by the meet of the stalactic congruence and its dual. I…
math.QA2025
A path description for -characters of representations of type restricted quantum loop algebras at roots of unity
Xiao-Juan An, Jian-Rong Li, Yan-Feng Luo +1
Fix with . In this paper, we show that all finite-dimensional simple modules of any restricted quantum loop algebra $U_{\varepsilon}^{\rm res}(…