Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories

DOI10.1007/s00220-017-2831-zzbMath1374.18014arXiv1608.03155OpenAlexW2484363128MaRDI QIDQ2362799

Andrew Schopieray

Publication date: 14 July 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03155

zbMATH Keywords

Witt groupfusion categoriesalgebras in fusion categoriesunitary Witt group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (6)

Level bounds for exceptional quantum subgroups in rank two ⋮ Irrational braided generalized near-groups ⋮ Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations ⋮ Prime decomposition of modular tensor categories of local modules of type D ⋮ Lie theory for fusion categories: A research primer ⋮ Higher Gauss sums of modular categories

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