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L'algebre de Lie des transpositions

Ivan Marin
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Abstract

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.

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BibTeXRIS

Ivan Marin. 2006-05-22. L'algebre de Lie des transpositions. https://arxiv.org/abs/math/0502119

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