The Lie superalgebra of transpositions

Fuente: arXiv
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Bibliographic Details
Main Authors: Drupieski, Christopher M., Kujawa, Jonathan R.
Format: Preprint
Published: 2023
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_version_ 1866911104294191104
author Drupieski, Christopher M.
Kujawa, Jonathan R.
author_facet Drupieski, Christopher M.
Kujawa, Jonathan R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_01555
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Lie superalgebra of transpositions
Drupieski, Christopher M.
Kujawa, Jonathan R.
Representation Theory
Group Theory
Rings and Algebras
17B10, 20B30
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.
title The Lie superalgebra of transpositions
topic Representation Theory
Group Theory
Rings and Algebras
17B10, 20B30
url https://arxiv.org/abs/2310.01555