L'algebre de Lie des transpositions

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For any $n \geq 3$ we obtain the decomposition in simple factors of the Lie subalgebra of the group algebra of the symmetric group on $n$ letters generated by the transpositions. This enables us to determine the algebraic hull of the braid group $\B_n$ and of several of its subgroups inside the representations of the Iwahori-Hecke algebra of type A.
French; 17 pages; Complete revision

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Representation Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/101063

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502119
 http://arxiv.org/abs/math/0502119

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arXiv