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A note on quantum subgroups of free quantum groups
Comptes Rendus. MathématiqueIn this short note, quantum subgroups in finite free products of the Pontryagin duals of free unitary quantum groups are classified. They correspond to pairs of a subgroup $\Gamma $ and a subset $S$ of the free group $\mathbb{F}_n$ such that $S$ is ...
Hoshino, Mao, Kitamura, Kan
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QUANTUM ISOMETRY GROUPS OF SYMMETRIC GROUPS [PDF]
International Journal of Mathematics, 2012 We identify the quantum isometry groups of spectral triples built on the symmetric groups with length functions arising from the nearest-neighbor transpositions as generators. It turns out that they are isomorphic to certain "doubling" of the group algebras of the respective symmetric groups.
Liszka-Dalecki, Jan, Sołtan, Piotr M.
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Advanced Functional Materials, EarlyView.This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger +10 more
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Advanced Functional Materials, EarlyView.Controlled syntheses of lanthanide coordination polymers based on the dihydroxybenzoquinone (DHBQ) organic linker afforded large single crystals of Ln‐DHBQ CPs (Ln = Yb, Nd). A novel structural variant of Yb‐DHBQ is identified by means of single crystal diffraction analysis.
Marina I. Schönherr +7 more
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Quantum groups as global symmetries
Journal of High Energy PhysicsWe study quantum field theories which have quantum groups as global internal symmetries. We show that in such theories operators are generically non-local, and should be thought as living at the ends of topological lines.
Barak Gabai +4 more
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Cluster integrable systems and spin chains
Journal of High Energy Physics, 2019 We discuss relation between the cluster integrable systems and spin chains in the context of their correspondence with 5d supersymmetric gauge theories.
A. Marshakov, M. Semenyakin
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Advanced Functional Materials, EarlyView.The first cryo‐EM visualization and quantification of oriented Photosystem I (PSI) on single‐layer graphene is reported. Domain‐specific covalent anchoring of PSI, with the reducing side of the biophotocatalyst toward graphene, promotes three‐fold higher anodic photocurrent generation compared to a randomly physisorbed counterpart. This approach allows
Miriam Izzo +6 more
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Amenability and coamenability of algebraic quantum groups
International Journal of Mathematics and Mathematical Sciences, 2002 We define concepts of amenability and coamenability for algebraic quantum groups in the sense of Van Daele (1998). We show that coamenability of an algebraic quantum group always implies amenability of its dual.
Erik Bédos +2 more
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Fast‐Responding O2 Gas Sensor Based on Luminescent Europium Metal‐Organic Frameworks (MOF‐76)
Advanced Functional Materials, EarlyView.Luminescent MOF‐76 materials based on Eu(III) and mixed Eu(III)/Y(III) show rapid and reversible changes in emission intensity in response to O2 with very short response times. The effect is based on triplet quenching of the linker ligands that act as photosensitizers. Average emission lifetimes of a few milliseconds turn out to be mostly unaffected by
Zhenyu Zhao +5 more
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Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
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