Following the general idea of Schur–Weyl scheme and using two suitable symmetric groups (instead of one), we define so called decomposition tensor of tensor representations for finite and infinite symmetric group. This makes more explicit the classical problem of decomposing tensor representations of these groups into irreducible components.
Scopus subject areas
- Decomposition tensor of tensor representations
- Infinite symmertic group
- Schur-Weyl duality
- Symmetric group