Combinatorial bases in quantum toroidal gl2 modules
Abstract
We show that many tame modules of the quantum toroidal gl2 algebra can be explicitly constructed in a purely combinatorial way using the theory of q-characters. The examples include families of evaluation modules obtained from analytic continuation and automorphism twists of Verma modules of the quantum affine gl2 algebra. The combinatorial bases in the modules are labeled by colored plane partitions with various properties.
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