3 papers
math.AT2026
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…
cs.FL2026
Generalised Möbius Categories and Convolution Kleene Algebras
James Cranch, Georg Struth, Jana Wagemaker
Convolution algebras on maps from structures such as monoids, groups or categories into semirings, rings or fields abound in mathematics and the sciences. Of special interest in co…
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…