Global bases for quantum Borcherds–Bozec algebras

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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Bibliographic Details
Published in:Mathematische Zeitschrift 2022-08, Vol.301 (4), p.3727-3753
Main Authors: Fan, Zhaobing, Kang, Seok-Jin, Kim, Young Rock, Tong, Bolun
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-022-03051-2