Specialization maps for shuffle algebras of type Bn and G2

Abstract

We define a filtration of Feigin-Odesskii's shuffle algebras of type Bn and G2 using specialization maps, generalizing the results in type An case given by Negut and Tsymbaliuk. These filtrations are compatible with a class of PBW type bases for the quantum current algebras of type Bn and G2.

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