A centralizer analogue to the Farahat–Higman algebra
A centralizer analogue to the Farahat–Higman algebra
We define a family of algebras FH m which generalise the Farahat–Higman algebra introduced in [4] by replacing the role of the center of the group algebra of the symmetric groups with centraliser algebras of symmetric groups. These algebras have a basis indexed by marked cycle shapes, combinatorial objects which …