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math.RT2024
Spin characters of the symmetric group which are proportional to linear characters in characteristic 2
Matthew Fayers, Eoghan McDowell
For a finite group, it is interesting to determine when two ordinary irreducible representations have the same -modular reduction; that is, when two rows of the decomposition ma…
math.RT2024
Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B
Matthew Fayers, Lorenzo Putignano
Let B be a weight- block of an Iwahori--Hecke algebra of type B over any field. We develop the combinatorics of B to prove that the decomposition numbers for B are all 0 or 1.