Cellular algebras and Frobenius extensions arising from two-parameter permutation matrices

• Date: 2025
• Main Authors: He, Houzhi, Xu, Huabo
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7976
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $n$ be a positive integer,  let $R$ be a (unitary associative) ring, and let $M_n(R)$ be the ring of all $n$ by $n$ matrices over $R.$  For a permutation $\sigma$ in the symmetry group $\Sigma_n$ and a ring automorphism $\varphi$ of $R,$&n...