The Lie superalgebra of transpositions
arXiv:2310.01555 · doi:10.1007/s10468-025-10357-2
Abstract
We consider the group algebra of the symmetric group as a superalgebra, and describe its Lie subsuperalgebra generated by the transpositions. The updated version corrects some of the arguments made in Sections 4.5 - 4.7. The statements of the main results are unaffected.
arXiv comment30 pages. The third version contains minor corrections that do not affect the results. The paper will appear in Algebras and Representation Theory