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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2024 Volume 20, 082, 40 pp. (Mi sigma2084)

First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals

Alexander Mang

Hamburg University, Bundesstraße 55, 20146 Hamburg, Germany

Abstract: The first quantum group cohomology with trivial coefficients of the discrete dual of any unitary easy quantum group is computed. That includes those potential quantum groups whose associated categories of two-colored partitions have not yet been found.

Keywords: discrete quantum group, quantum group cohomology, trivial coefficients, easy quantum group, category of partitions.

MSC: 20G42, 05A18

Received: September 24, 2023; in final form August 22, 2024; Published online September 12, 2024

Language: English

DOI: 10.3842/SIGMA.2024.082


ArXiv: 2305.12494


© Steklov Math. Inst. of RAS, 2024