Nate Harman

activity

20092025

most citedDeligne categories as limits in rank and characteristic

17 citations · 48 across the 24 of their papers we have counts for

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Showing 2016 · math.RTShow all

3 papers · 2 filters

math.RT2016

Virtual Specht stability for $F I$ -modules in positive characteristic

Nate Harman

We define a notion of virtual Specht stability which is a relaxation of the Church-Farb notion of representation stability for sequences of symmetric group representations. Using a…

math.RT2016

Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups

Georgia Benkart, Tom Halverson, Nate Harman

The partition algebra $P_{k} (n)$ and the symmetric group $S_{n}$ are in Schur-Weyl duality on the $k$ -fold tensor power $M_{n}^{\otimes k}$ of the permutation…

math.RT2016★ 17 cited

Deligne categories as limits in rank and characteristic

Nate Harman

We give new interpretations of the Deligne categories $R e p (G L_{t})$ and $R e p (S_{t})$ (and their abelian envelopes) over $C$ in terms of modular represe…

Virtual Specht stability for FI-modules in positive characteristic

Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups

Deligne categories as limits in rank and characteristic

Virtual Specht stability for $F I$ -modules in positive characteristic