The periplectic Brauer algebra II: decomposition multiplicities

J. Comb. Algebra 2 (2018), no. 1, 19-46 We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams. We also establish a useful re...

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Hauptverfasser: Coulembier, Kevin, Ehrig, Michael
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Sprache:eng
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Zusammenfassung:J. Comb. Algebra 2 (2018), no. 1, 19-46 We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams. We also establish a useful relationship with the Kazhdan-Lusztig multiplicities of the periplectic Lie superalgebra.
DOI:10.48550/arxiv.1701.04606