@article{Ji2023, 
author = {Pengcheng Ji and Jialei Chen and Fengxia Gao},
title = {Projective class ring of a restricted quantum group              U      ¯              q        (            s      l        2          ∗        )},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {19933-19949},
keywords = {new type restricted quantum group, projective class ring},
url = {https://www.sciopen.com/article/10.3934/math.20231016},
doi = {10.3934/math.20231016},
abstract = {In this paper, we compute the projective class ring of the new type restricted quantum group              U      ¯              q        (            s      l        2          ∗        ). First, we describe the principal indecomposable projective              U      ¯              q        (            s      l        2          ∗        )-modules and study their radicals, composition series, Cartan matrix of              U      ¯              q        (            s      l        2          ∗        ) and so on. Then, we deconstruct the tensor products between two simple modules, two indecomposable projective modules and a simple module and an indecomposable projective module, into direct sum of some indecomposable representations. At last, we characterize the projective class ring by generators and relations explicitly.}
}