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arXiv · 1709.10234

Borcherds-Bozec algebras, root multiplicities and the Schofield construction

Seok-Jin Kang
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Abstract

Using the twisted denominator identity, we derive a closed form root multiplicity formula for all symmetrizable Borcherds-Bozec algebras and discuss its applications including the case of Monster Borcherds-Bozec algebra. In the second half of the paper, we provide the Schofield constuction of symmetric Borcherds-Bozec algebras.

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BibTeXRIS

Seok-Jin Kang. 2018-06-12. Borcherds-Bozec algebras, root multiplicities and the Schofield construction. https://arxiv.org/abs/1709.10234

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