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The maximal graded cocharacter multiplicity conjecture for upper-triangular matrices
Maximal graded cocharacter multiplicity conjecture. For any $\mathbb{Z}_m$ -grading of $UT_m(F)$ and every partition $\lambda\vdash n$ , one has
Conjectureopencocharacter-sequences graded-identities upper-triangular-matricesarXiv posted 2 days ago

The maximal graded cocharacter multiplicity conjecture for upper-triangular matrices