The pure virtual braid group is quadratic.

DOI10.1007/s00029-012-0107-1zbMath1290.16022arXiv1110.2356OpenAlexW3102257961MaRDI QIDQ1950458

Yanyan Li

Publication date: 13 May 2013

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2356

zbMATH Keywords

group ringsquadratic algebrasKoszul algebrasassociated graded algebrasaugmented algebraspure virtual braid groups

Mathematics Subject Classification ID

Group rings (16S34) Braid groups; Artin groups (20F36) Quadratic and Koszul algebras (16S37) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items

Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality, The center of the virtual braid group is trivial, Pure virtual braids, resonance, and formality, Taylor expansions of groups and filtered-formality, Cup products, lower central series, and holonomy Lie algebras, Formality properties of finitely generated groups and Lie algebras, Representation stability for the pure cactus group

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