Braid group actions of quantum Borcherds-Bozec algebras

نویسندگان

چکیده

In this paper, we construct the Lusztig symmetries for quantum Borcherds-Bozec algebra Uq(g) and its weight module M∈O, on which generators with real indices of act nilpotently. We show that these satisfy defining relations braid group, associated to Uq(g), gives a group action M.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2023

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.12.038