L'algebre de Lie des transpositions

Details L'algebre de Lie des transpositions L'algebre de Lie des transpositions

2005-02-06

arxiv.org/abs/math/0502119v2

Mathematics

Representation Theory

French; 17 pages; Complete revision

Scientific paper

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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