 |
Université Jean Monnet – Saint-Etienne |  |
FINITE CONVERGENT PRESENTATIONS OF PLACTIC MONOIDS FOR SEMISIMPLE LIE ALGEBRAS
Abstract : We study rewriting properties of the column presentation of plactic monoid for any semisimple Lie algebra such as termination and confluence. Littelmann described this presentation using L-S paths generators. Thanks to the shapes of tableaux, we show that this presentation is finite and convergent. We obtain as a corollary that plactic monoids for any semisimple Lie algebra satisfy homological finiteness properties.
Cited literature [26 references]
https://hal-ujm.archives-ouvertes.fr/ujm-01248274
Contributor : Nohra Hage <>
Submitted on : Thursday, December 24, 2015 - 1:38:14 PM
Last modification on : Tuesday, December 8, 2020 - 9:45:36 AM
Contributor : Nohra Hage <>
Submitted on : Thursday, December 24, 2015 - 1:38:14 PM
Last modification on : Tuesday, December 8, 2020 - 9:45:36 AM
Files
LittelmannPaths.pdf
Files produced by the author(s)