Representation of elliptic Ding-Iohara algebra

Abstract

We define a vector representation V (u) of elliptic Ding-Iohara algebra U (q; t; p): Furthermore, we construct the tensor products of the vector representations and the Fock modules ℱ(u) by taking the inductive limit of certain subspaces in the finite tensor products of vector representations.

Keywords

Elliptic Ding-Iohara algebra / vector representation / partition

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