A family of algebras A_{M,N} is introduced as extensions of commuting quantum toroidal gl_1 pairs, with module examples and a conjectured coproduct that restricts to the Drinfeld coproduct.
Miki, Toroidal and level 0 U_q' sl_ n+1 actions on U_q gl_ n+1 modules , J
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Extensions of a commuting pair of quantum toroidal $\mathfrak{gl}_1$
A family of algebras A_{M,N} is introduced as extensions of commuting quantum toroidal gl_1 pairs, with module examples and a conjectured coproduct that restricts to the Drinfeld coproduct.