PreprintCC BY 4.0arXiv
On the Drinfeld center of the Verlinde category Verp
Abstract
We provide some information about the Drinfeld center Z(Verp) of the Verlinde category Verp. We compute explicitly the graded Cartan matrix, bound quiver and cohomology of Z(Verp+), and prove that the category 𝒵(Verp+) is wild for every p≥ 7. In the special case p=5, we show that Z(Ver5+) has exactly $10$ non-isomorphic indecomposable objects, classify them and describe the Green ring of Z(Ver5+), and compute the semisimplification of Z(Ver5+).
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BibTeX
@misc{gelaki2026drinfeld,
title = {{On the Drinfeld center of the Verlinde category $\Ver_p$}},
author = {Shlomo Gelaki and Victor Ostrik},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.20465},
eprint = {2608.20465},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.20465},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the Drinfeld center of the Verlinde category Ver_p
AU - Shlomo Gelaki
AU - Victor Ostrik
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2608.20465
UR - https://arxiv.org/abs/2608.20465
AB - We provide some information about the Drinfeld center Z(Ver_p) of the Verlinde category Ver_p. We compute explicitly the graded Cartan matrix, bound quiver and cohomology of Z(Ver_p^+), and prove that the category 𝒵(Ver_p^+) is wild for every p≥ 7. In the special case p=5, we show that Z(Ver_5^+) has exactly $10$ non-isomorphic indecomposable objects, classify them and describe the Green ring of Z(Ver_5^+), and compute the semisimplification of Z(Ver_5^+).
ER -