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We define a monoidal category W and a closely related 2‐category 2Weyl using diagrammatic methods. We show that 2Weyl acts on the category TL of modules over Temperley–Lieb algebras, with its generating 1‐morphisms acting by induction and restriction. The Grothendieck groups of W and a third category we define W^\infty are closely related to the Weyl algebra. We formulate a sense in which K_0(W^\infty) acts asymptotically on K_0(TL).more » « less
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Berest, Yuri; Gallagher, Joseph; Samuelson, Peter (, Letters in Mathematical Physics)
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Berest, Yuri; Samuelson, Peter (, Journal of Algebra)
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