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arXiv:0912.4827 [math.GR]AbstractReferencesReviewsResources

Garside groups and Yang-Baxter equation

Fabienne Chouraqui

Published 2009-12-24, updated 2011-01-23Version 3

We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of $\Delta$-pure Garside groups.

Comments: This is the last version of the paper, as it appears in Communications in Algebra, Volume 38 Issue 12, December 2010
Journal: Communications in Algebra, Volume 38 n.12 (December2010)
Categories: math.GR, math.RA
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