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Measures on partial orders
Andrew Snowden
We determine the measures (in the sense of Harman--Snowden) on the Fraïssé class of partially ordered sets: the space of measures is a union of a plane, eight lines, and 15 isolate…
The Drinfeld center of an oligomorphic tensor category
Pavel Etingof, Andrew Snowden
Recently, Harman and the second author introduced a new construction of pre-Tannakian tensor categories based on oligomorphic groups. We develop tools for analyzing the Drinfeld ce…
The second Delannoy category
Kevin Coulembier, Andrew Snowden
In recent work, Harman and Snowden constructed a symmetric tensor category associated to an oligomorphic group equipped with a measure. The oligomorphic group of order…
Representations of finite matrix monoids
Nate Harman, Andrew Snowden, Elad Zelingher
Let be the multiplicative monoid of matrices over a finite field. The monoid algebra has been studied for several decades…
Classification of simple commutative algebras in the Delannoy category
Pavel Etingof, Andrew Snowden
The Delannoy category is an interesting pre-Tannakian category associated to the oligomorphic group of automorphisms of the totally ordered set . By c…
Interpolation of the oscillator representation and Azumaya algebras in tensor categories
Andrew Snowden
Let be a symmetric tensor category and let be an Azumaya algebra in . Assuming a certain invariant vanishe…