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arxiv: 1309.2147 · v3 · pith:ERO7YGS5new · submitted 2013-09-09 · 🧮 math.QA · math-ph· math.MP

Branching rules for quantum toroidal gl(n)

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keywords quantumsubalgebratoroidalalgebrasanalogbranchingconstructotimes
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We construct an analog of the subalgebra $Ugl(n)\otimes Ugl(m)$ of $Ugl(m+n)$ in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.

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