The Grothendieck Ring of a Family of Spherical Categories

DOI10.1007/S00220-022-04460-4arXiv2007.05622WikidataQ114230900 ScholiaQ114230900MaRDI QIDQ6344861

Zhengwei Liu, Christopher Ryba

Publication date: 10 July 2020

Abstract: The first author constructed a $q$-parameterized spherical category $sC$ over $mathbbC(q)$ in [Liu15], whose simple objects are labelled by all Young diagrams. In this paper, we compute closed-form expressions for the fusion rule of $sC$, using Littlewood-Richardson coefficients, as well as the characters (including a generating function), using symmetric functions with infinite variables.

Mathematics Subject Classification ID

Subfactors and their classification (46L37) Special categories (18B99)

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