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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★ 1 cited
Brauer's Height Zero Conjecture
Gunter Malle, Gabriel Navarro, Amanda A. Schaeffer Fry +1
We complete the proof of Brauer's Height Zero Conjecture from 1955 by establishing the open implication for all odd primes.
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…