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math.RT2024
The Divisibility of Character Values
Varun Shah, Steven Spallone
Let be a prime power, and a positive integer. We study the proportion of irreducible characters of whose values evaluated on a fixed matrix are divis…
math.RT2023
On the Divisibility of Degrees of Representations of Lie Algebras
Varun Shah, Steven Spallone
Let be a reductive Lie algebra, and a positive integer. There is a natural density of irreducible representations of , whose degrees are not divisibl…