Noetherianity of Diagram Algebras

Anthony Muljat; Khoa Ta

Noetherianity of Diagram Algebras

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arxiv 2409.10885 v1 pith:J6YQJJM4 submitted 2024-09-17 math.RT math.RA

Anthony Muljat , Khoa Ta This is my paper · ORCID

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keywords algebrascategoriesdiagrambrauerestablishlinearlocalnoetherian

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In this short paper, we establish the local Noetherian property for the linear categories of Brauer, partition algebras, and other related categories of diagram algebras with no restrictions on their various parameters.

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Homology of Rook-Brauer Algebras and Motzkin Algebras
math.RA 2025-05 conditional novelty 6.0 of 10

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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