Abstract
We provide an explicit construction of global bases for quantum Borcherds–Bozec algebras and their irreducible highest weight modules. Moreover, we give a new presentation for quantum Borcherds–Bozec algebras in terms of primitive generators.
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Acknowledgements
Z. Fan was partially supported by the NSF of China grant 11671108, the NSF of Heilongjiang Province grant JQ2020A001, and the Fundamental Research Funds for the central universities. S.-J. Kang was supported by the NSF of China grant 11671108. Young Rock Kim was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2021R1A2C1011467). Young Rock Kim was supported by Hankuk University of Foreign Studies Research Fund.
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Seok-Jin Kang, Young Rock Kim, and Bolun Tong have contributed equally to this work.
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Fan, Z., Kang, SJ., Kim, Y.R. et al. Global bases for quantum Borcherds–Bozec algebras. Math. Z. 301, 3727–3753 (2022). https://doi.org/10.1007/s00209-022-03051-2
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DOI: https://doi.org/10.1007/s00209-022-03051-2