Modified traces for quasi-Hopf algebras
From MaRDI portal
Publication:2286339
DOI10.1016/j.jalgebra.2019.12.006zbMath1462.16033arXiv1812.10445OpenAlexW2906395218MaRDI QIDQ2286339
Johannes Berger, Ingo Runkel, Azat M. Gainutdinov
Publication date: 22 January 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.10445
tensor categoriesquasi-Hopf algebrasintegral theory for quasi-Hopf algebrasmodified traces for pivotal tensor categories
Related Items
Hopf algebraic methods in finite tensor categories: Characters and integrals, Categorical aspects of cointegrals on quasi-Hopf algebras, Monadic cointegrals and applications to quasi-Hopf algebras, Modified trace is a symmetrised integral
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized trace and modified dimension functions on ribbon categories
- On integrals and cointegrals for quasi-Hopf algebras.
- Involutory quasi-Hopf algebras.
- Finiteness conditions for a Hopf algebra with a nonzero integral
- Doubles of quasi-quantum groups
- Integrals for (dual) quasi-Hopf algebras. Applications
- Renormalized Hennings invariants and \(2+1\)-TQFTs
- \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras
- Logarithmic Hennings invariants for restricted quantum \(\mathfrak{s}\mathfrak{l}\)(2)
- The non-semisimple Verlinde formula and pseudo-trace functions
- Factorizable quasi-Hopf algebras -- applications.
- Traces on ideals in pivotal categories
- Monadic cointegrals and applications to quasi-Hopf algebras
- Modified trace is a symmetrised integral
- M-traces in (non-unimodular) pivotal categories
- Categorical aspects of cointegrals on quasi-Hopf algebras
- Modified trace from pivotal Hopf \(G\)-coalgebras
- On sovereign, balanced and ribbon quasi-Hopf algebras
- Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)
- Ambidextrous objects and trace functions for nonsemisimple categories
- A Survey of Graphical Languages for Monoidal Categories
- Modified quantum dimensions and re-normalized link invariants
- Hopf modules and the double of a quasi-Hopf algebra
- Logarithmic conformal field theory, log-modular tensor categories and modular forms
- Projective objects and the modified trace in factorisable finite tensor categories