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math.RT2022
Level, rank, and tensor growth of representations of symmetric groups
Alexander Kleshchev, Michael Larsen, Pham Huu Tiep
We develop a theory of levels for irreducible representations of symmetric groups of degree analogous to the theory of levels for finite classical groups. A key property of lev…
math.RT2022
Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture
Michael Larsen, Jay Taylor, Pham Tiep
For every integer there exists a bound such that if the characteristic polynomial of is the product of pairwise distinct monic ir…