The braided monoidal structure of tube algebra representations

David Jaklitsch and Makoto Yamashita

We consider the tube algebra of a spherical semisimple multitensor category X, and construct a braided monoidal structure with twist for its representations. We further show that this category is braided tensor equivalent with the Drinfeld center of the ind-category of X, extending the well-known linear equivalence.

Keywords: Monoidal category, tube algebra, Drinfeld center

2020 MSC: 18D10

Theory and Applications of Categories, Vol. 45, 2026, No. 49, pp 2115-2152.

Published 2026-10-05.

http://www.tac.mta.ca/tac/volumes/45/49/45-49.pdf

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