The (glm,gln) Duality in the Quantum Toroidal Setting

On a Fock space constructed from mn free bosons and lattice Z mn , we give a level n action of the quantum toroidal algebra E m associated to gl m , together with a level m action of the quantum toroidal algebra E n associated to gl n . We prove that the E m transfer matrices commute with the E n tr...

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Veröffentlicht in:	Communications in mathematical physics 2019-04, Vol.367 (2), p.455-481
Hauptverfasser:	Feigin, B., Jimbo, M., Mukhin, E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bosons Classical and Quantum Gravitation Complex Systems Mathematical and Computational Physics Mathematical Physics Parameter identification Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical Transfer matrices
Online-Zugang:	Volltext
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