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$U_q\mathfrak{sl}_2$-invariant non-compact boundary conditions for the XXZ spin chain

Dmitry Chernyak , Azat M. Gainutdinov , Hubert Saleur
Journal of High Energy Physics, 2022, 2022 (11), pp.016. ⟨10.1007/JHEP11(2022)016⟩
Article dans une revue hal-03759954v1

$U_q(\mathfrak{sl}_n)$ web models and $\mathbb{Z}_n$ spin interfaces

Augustin Lafay , Azat M. Gainutdinov , Jesper Lykke Jacobsen
Journal of Statistical Mechanics: Theory and Experiment, 2021, ⟨10.1088/1742-5468/abfcb3⟩
Article dans une revue hal-03122299v1

Modified trace is a symmetrised integral

Anna Beliakova , Christian Blanchet , Azat M. Gainutdinov
Selecta Math., 2021, 27 (3), pp.31. ⟨10.1007/s00029-021-00626-5⟩
Article dans une revue hal-03224696v1

Uq(sl3) web models: Locality, phase diagram and geometrical defects

Augustin Lafay , Azat M. Gainutdinov , Jesper Lykke Jacobsen
Nuclear Physics B, 2022, 979, pp.115789. ⟨10.1016/j.nuclphysb.2022.115789⟩
Article dans une revue hal-03315296v1
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Modified traces for quasi-Hopf algebras

Johannes Berger , Azat M. Gainutdinov , Ingo Runkel
J.Algebra, 2020, 548, pp.96-119. ⟨10.1016/j.jalgebra.2019.12.006⟩
Article dans une revue hal-02432659v1

Monadic cointegrals and applications to quasi-Hopf algebras

Johannes Berger , Azat M. Gainutdinov , Ingo Runkel
J.Pure Appl.Algebra, 2021, 225, pp.106678. ⟨10.1016/j.jpaa.2021.106678⟩
Article dans une revue hal-02550179v1

Davydov-Yetter cohomology and relative homological algebra

Matthieu Faitg , Azat M. Gainutdinov , Christoph Schweigert
2022
Pré-publication, Document de travail hal-03874150v1

Non-semisimple link and manifold invariants for symplectic fermions

Johannes Berger , Azat M. Gainutdinov , Ingo Runkel
2023
Pré-publication, Document de travail hal-04308173v1
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Projective objects and the modified trace in factorisable finite tensor categories

Azat M. Gainutdinov , Ingo Runkel
Compos.Math., 2020, 156, pp.770-821. ⟨10.1112/S0010437X20007034⟩
Article dans une revue hal-02536321v1

3-Dimensional TQFTs from non-semisimple modular categories

Marco de Renzi , Azat M. Gainutdinov , Nathan Geer , Bertrand Patureau-Mirand , Ingo Runkel
Selecta Math., 2022, 28 (2), pp.42. ⟨10.1007/s00029-021-00737-z⟩
Article dans une revue hal-02431445v1
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Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials

Pascal Baseilhac , A. M. Gainutdinov , Thi Thao Vu
Linear Algebra and its Applications, 2017, 522, pp.71-110. ⟨10.1016/j.laa.2017.02.009⟩
Article dans une revue hal-01341852v1
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A quasi-Hopf algebra for the triplet vertex operator algebra

Thomas Creutzig , Azat M. Gainutdinov , Ingo Runkel
Communications in Contemporary Mathematics, 2019, pp.1950024. ⟨10.1142/S021919971950024X⟩
Article dans une revue hal-02331895v1
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SL(2,$\mathbb Z$)-action for ribbon quasi-Hopf algebras

Vanda Farsad , Azat M. Gainutdinov , Ingo Runkel
J.Algebra, 2019, 522, pp.243-308. ⟨10.1016/j.jalgebra.2018.12.012⟩
Article dans une revue hal-02148033v1

Integrability of rank-two web models

Augustin Lafay , Azat M. Gainutdinov , Jesper Lykke Jacobsen
Nucl.Phys.B, 2024, 1002, pp.116530. ⟨10.1016/j.nuclphysb.2024.116530⟩
Article dans une revue hal-04344202v1

Mapping Class Group Representations From Non-Semisimple TQFTs

Marco de Renzi , Azat Gainutdinov , Nathan Geer , Bertrand Patureau-Mirand , Ingo Runkel
Communications in Contemporary Mathematics, 2023, 25 (01), ⟨10.1142/S0219199721500917⟩
Article dans une revue hal-02992280v1
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On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories

Jonathan Belletête , Azat M. Gainutdinov , Jesper L. Jacobsen , Hubert Saleur , Romain Vasseur
2017
Pré-publication, Document de travail cea-01540390v1
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A fusion for the periodic Temperley–Lieb algebra and its continuum limit

Azat M. Gainutdinov , Jesper Lykke Jacobsen , Hubert Saleur
Journal of High Energy Physics, 2018, 11, pp.117. ⟨10.1007/JHEP11(2018)117⟩
Article dans une revue cea-01739633v1

Combinatorial Quantisation of $GL(1|1)$ Chern-Simons Theory I: The Torus

Nezhla Aghaei , Azat M. Gainutdinov , Michal Pawelkiewicz , Volker Schomerus
2018
Pré-publication, Document de travail hal-01952715v1
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Fusion and braiding in finite and affine Temperley-Lieb categories

A. M. Gainutdinov , H. Saleur
2016
Pré-publication, Document de travail cea-01468258v1

Modularization of small quantum groups

Azat M. Gainutdinov , Simon Lentner , Tobias Ohrmann
2018
Pré-publication, Document de travail hal-01880816v1