Abstract
In this paper, all Lie bialgebra structures on the derivation Lie algebra W over a rank d ≥ 3 quantum torus associated to q are considered, where q is a d × d matrix with all the entries being roots of unity. They are shown to be triangular coboundary. As a byproduct, it is also proved that the first cohomology group H1 (W, W ⊗ W) is trivial.
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Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (No. 11971350) and the Fundamental Research Funds for the Central Universities (No. 22120210554).
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Xu, S., Yue, X. Lie Bialgebra Structure of Derivation Lie Algebra over Quantum Torus. Front. Math 19, 143–160 (2024). https://doi.org/10.1007/s11464-021-0310-5
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DOI: https://doi.org/10.1007/s11464-021-0310-5