Alladi Ramakrishnan Hall

On monoidal structure of the Schur algebra via strict polynomial functors

Shraddha Srivastava

CMI

Strict polynomial functors of degree d are unified way to study representations of the Schur algebra, S(n,d), for all n. In this talk, we
will show that the category of strict polynomial functors of degree d
is equivalent to the category of S(n,d)-modules, when n is at least d. The category of strict polynomial functors naturally possess a monoidal structure and thus by equivalence, S(n,d)-Mod is a monoidal category.