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math.CT2024
Interacting Monoidal Structures with Applications in Computing
James Cranch, Georg Struth
With a view on applications in computing, in particular concurrency theory and higher-dimensional rewriting, we develop notions of -fold monoid and comonoid objects in -fold…
math.AT2024
Cohomology of coloured partition algebras
James Cranch, Daniel Graves
Coloured partition algebras were introduced by Bloss and exhibit a Schur-Weyl duality with certain complex reflection groups. In this paper we show that these algebras exhibit homo…