On the algebra of the Möbius crown

2019/12/24 by Podkorytov, S. S.
#Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1912.11525

Abstract

A commutative algebra over a field gives rise to a representation of the category of finite sets and surjective maps. We consider the restriction of this representation to the subcategory of sets of cardinality at most r. For each r, we present two non-isomorphic algebras that give rise to isomorphic representations of this subcategory.

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