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math.RT2024
Tensor spaces and the geometry of polynomial representations
Nate Harman, Andrew Snowden
A "tensor space" is a vector space equipped with a finite collection of multi-linear forms. In previous work, we showed that (for each signature) there exists a universal homogeneo…
math.RT2024
Higher Congruences in Character Tables
Nate Harman, Joshua Mundinger
Motivated by recent work of Peluse and Soundararajan on divisibility properties of the entries of the character tables of symmetric groups, we investigate the question: For a finit…