4 papers
BiHom-Lie brackets and the Toda equation
Botong Gai, Chuanzhong Li, Jiacheng Sun +2
We introduce a BiHom-type skew-symmetric bracket on built from two commuting inner automorphisms and with and i…
Sweedler duality for Hom-(co)algebras and Hom-(co)modules
Jiacheng Sun, Shuanhong Wang, Chi Zhang +1
We establish a dual version of infinite-dimensional Hom-algebras and Hom-modules by using the Sweedler duality construction. Additionally, linear morphisms between infinite-dimensi…
Kronecker coefficients and Harrison centres of the representation ring of the symmetric group
Jia-Cheng Sun, Chi Zhang, Haoran Zhu
We present a computational approach to studying the structure of the representation ring of the symmetric group in dimension six. The Kronecker coefficients and all power formulae…
Matrices as graded BiHom-algebras and decompositions
Jiacheng Sun, Shuanhong Wang, Haoran Zhu
We present matrices as graded BiHom-algebras and consider various characteristics of their decompositions. Specifically, we introduce a notion of connection in the support of the g…