Institut Denis Poisson

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20052026

most citedBridging Carrollian and Celestial Holography

166 citations

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22 papers · 1 filter

math.QA2025★ 1 cited

Universal TT- and TQ-relations via centrally extended q-Onsager algebra

Pascal Baseilhac, Azat M. Gainutdinov, Guillaume Lemarthe

Let $A_{q}$ be the alternating central extension of the q-Onsager algebra, a comodule algebra over the quantum loop algebra of $s l_{2}$ . We classify one-dimensional representations of…

math.QA2024

An adjunction theorem for Davydov-Yetter cohomology and infinitesimal braidings

Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert

Davydov-Yetter cohomology $H_{DY}^{∙} (F)$ is associated to a monoidal functor $F : C \to D$ between $k$ -linear monoidal categories where $\Bbb…

math.QA2023

Non-semisimple link and manifold invariants for symplectic fermions

Johannes Berger, Azat M. Gainutdinov, Ingo Runkel

We consider the link and three-manifold invariants from arXiv:1912.02063, which are defined in terms of certain non-semisimple finite ribbon categories $C$ together with…

math.QA2023★ 3 cited

The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms

Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy +1

We propose a definition by generators and relations of the rank $n - 2$ Askey-Wilson algebra $aw (n)$ for any integer $n$ , generalising the known presentation for the usual…

math.QA2023

Fused K-operators and the $q$ -Onsager algebra

Guillaume Lemarthe, Pascal Baseilhac, Azat M. Gainutdinov

We study universal solutions to reflection equations with a spectral parameter, so-called K-operators, within a general framework of universal K-matrices - an extended version of t…

math.QA2022★ 3 cited

Davydov-Yetter cohomology and relative homological algebra