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arXiv · 2310.01555

The Lie superalgebra of transpositions

Christopher M. Drupieski·Jonathan R. Kujawa
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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.

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Christopher M. Drupieski, Jonathan R. Kujawa. 2023-10-02. The Lie superalgebra of transpositions. https://doi.org/10.1007/s10468-025-10357-2

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