Elliptic stable envelopes and finite-dimensional representations of elliptic quantum group
Elliptic stable envelopes and finite-dimensional representations of elliptic quantum group
We construct a finite dimensional representation of the face type, i.e. dynamical, elliptic quantum group associated with |$\widehat{\mathfrak{sl}}_N$| on the Gelfand-Tsetlin basis of the tensor product of the |$n$|-vector representations. The result is described in a combinatorial way by using the partitions of |$[1,n]$|. We find that the change of …