Projective objects and the modified trace in factorisable finite tensor categories
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Publication:5221055
DOI10.1112/S0010437X20007034zbMath1445.18011arXiv1703.00150MaRDI QIDQ5221055
Ingo Runkel, Azat M. Gainutdinov
Publication date: 27 March 2020
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.00150
vertex operator algebrabraided categoryprojective objectpivotal categorymodified traceGro\-then\-dieck ringVerlinde-like formula
Vertex operators; vertex operator algebras and related structures (17B69) Projectives and injectives (category-theoretic aspects) (18G05) Grothendieck groups (category-theoretic aspects) (18F30) Monoidal categories, symmetric monoidal categories (18M05) Braided monoidal categories and ribbon categories (18M15)
Related Items (15)
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras ⋮ The symplectic fermion ribbon quasi-Hopf algebra and the \(S L(2, \mathbb{Z})\)-action on its centre ⋮ M-traces in (non-unimodular) pivotal categories ⋮ Mapping class group representations from non-semisimple TQFTs ⋮ Log-modular quantum groups at even roots of unity and the quantum Frobenius I ⋮ Non-semisimple extended topological quantum field theories ⋮ The differential graded Verlinde formula and the Deligne Conjecture ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ Frobenius-Perron dimensions of integral \(\mathbb{Z}_+\)-rings and applications ⋮ Modified traces and the Nakayama functor ⋮ Modified traces for quasi-Hopf algebras ⋮ Modified trace is a symmetrised integral ⋮ Further results on the structure of (co)ends in finite tensor categories ⋮ 3-dimensional TQFTs from non-semisimple modular categories ⋮ Extended TQFTs from non-semisimple modular categories
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