The authors link suitably generalized deformed phi-coordinated modules of the quantum affine vertex algebra V^c(gl_N) to representations of U_h(gl_N) and O_h(Mat_N), showing that its center at critical level c=-N produces q-analogues of quantum immanants.
Iohara,Bosonic representations of Yangian doubleDY ℏ(g)withg=gl N ,sl N, J
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Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$
The authors link suitably generalized deformed phi-coordinated modules of the quantum affine vertex algebra V^c(gl_N) to representations of U_h(gl_N) and O_h(Mat_N), showing that its center at critical level c=-N produces q-analogues of quantum immanants.