Irreducible affine gl_n-modules with dominant highest weights become thin Yangian modules via restriction of periodic Gelfand-Tsetlin patterns to a permitted subset.
Quantum toroidal and shuffle algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In this paper, we prove that the quantum toroidal algebra of gl_n is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R-matrix of the quantum toroidal algebra.
representative citing papers
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
citing papers explorer
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Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights
Irreducible affine gl_n-modules with dominant highest weights become thin Yangian modules via restriction of periodic Gelfand-Tsetlin patterns to a permitted subset.
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Quiver Yangians as Coulomb branch algebras
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.