Abstract
A way to construct the natural representation of the quantized affine algebra is via the deformed Fock space by Misra and Miwa. This relates the classes of Weyl modules for
were
is a root of unity to the action of
as N tends toward infinity. In this paper we investigate the situation outside of type A. In classical types, we construct embeddings of the Grothendieck group of finite dimensional
-modules into Fock spaces of different charges and define an action of an affine quantum symmetric pair that plays the role of the quantized affine algebra. We describe how the action is related to the linkage principal for quantum groups at a root of unity and tensor product multiplicities.
Acknowledgments
We would like to thank Catharina Stroppel and Daniel Tubbenhauer for comments and remarks. We would also like to thank Weiqiang Wang and the referee for corrections and suggestion to improve the content of the paper.