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Minoru Nakaoka,Decomposition Theorem for Homology Groups of Symmetric Groups, Annals of Mathematics, vol 71 ( · 1960 · arXiv stable/1969878

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Homology of Rook-Brauer Algebras and Motzkin Algebras

math.RA · 2025-05-28 · conditional · novelty 6.0

With epsilon invertible and delta arbitrary, Rook-Brauer homology is isomorphic to symmetric group homology in all degrees and Motzkin homology vanishes in positive degrees.

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  • Homology of Rook-Brauer Algebras and Motzkin Algebras math.RA · 2025-05-28 · conditional · none · ref 8

    With epsilon invertible and delta arbitrary, Rook-Brauer homology is isomorphic to symmetric group homology in all degrees and Motzkin homology vanishes in positive degrees.