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arxiv: 1901.05080 · v3 · pith:WRRPCIIRnew · submitted 2019-01-15 · 🧮 math.RT · math.CT

Classification of simple algebras in Deligne category Rep(S_t)

Nate Harman , Daniil Kalinov This is my paper
classification 🧮 math.RT math.CT
keywords algebrasdelignesimpleansweringassociativecategoriescategoryclassification
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We classify simple associative and Lie algebras inside the Deligne categories $Rep(S_t)$, answering a question posed by Etingof.

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  1. Classification of simple commutative algebras in the Delannoy category

    math.RT 2025-11 unverdicted novelty 6.0

    All simple commutative algebras in the Delannoy category are precisely those corresponding to certain transitive G-sets.