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On the Lie algebras associated with pure mapping class groups
Journal article   Peer reviewed

On the Lie algebras associated with pure mapping class groups

Rym Karoui and Vladimir Vershinin
Communications in Algebra, Vol.39(7), pp.2290-2298
20/07/2011
DOI: https://doi.org/10.1080/00927872.2010.488668

Abstract

Mapping class group Lie algebra braid group presentation 0F38; Secondary 20F36, 17B, 57M
Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In the paper the graded Lie algebra of the descending central series of the pure mapping class of a sphere is studied. A simple presentation of this Lie algebra is obtained.
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