Current browse context:
math.QA
Change to browse by:
References & Citations
Mathematics > Quantum Algebra
Title: Combinatorial bases in quantum toroidal $\mathfrak{gl}_2$ modules
(Submitted on 25 Mar 2024)
Abstract: We show that many tame modules of the quantum toroidal $\mathfrak{gl}_2$ 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 $\mathfrak{gl}_2$ algebra. The combinatorial bases in the modules are labeled by colored plane partitions with various properties.
Link back to: arXiv, form interface, contact.