Pure braid group presentations via longest elements
نویسندگان
چکیده
This paper gives a new, simplified presentation of the classical pure braid group. The generators are given by squares longest elements over connected subgraphs, and we prove that only relations either commutators or certain palindromic length 5 box relations. is motivated twist functors in algebraic geometry, but proof entirely Coxeter-theoretic. We also analogous set does not generate for all Coxeter arrangements, which particular answers question Donovan Wemyss.
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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.2023.02.033