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Article Dans Une Revue Transformation Groups Année : 2022

DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM $$ \mathfrak{sl} $$2

Résumé

Abstract We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of $$ \mathfrak{sl} $$ sl 2 at a root of unity q of odd order. Our approach is diagrammatic, and it relies on an extension of the Temperley–Lieb category specialized at δ = − q − q −1 .

Dates et versions

hal-03805520 , version 1 (07-10-2022)

Identifiants

Citer

C. Blanchet, M. De Renzi, J. Murakami. DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM $$ \mathfrak{sl} $$2. Transformation Groups, 2022, 27 (3), pp.751-795. ⟨10.1007/s00031-021-09670-z⟩. ⟨hal-03805520⟩
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