A pinning-normalized local Langlands correspondence is constructed for depth-zero supercuspidal representations by matching toral, finite cuspidal, and unipotent pieces.
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Combinatorial algorithm extends classical Lie algebra methods to compute GK dimensions for highest weight modules over sl(m|n) and osp(2|2n), showing dependence only on the even part.
A pinned canonical bijection is constructed between Lusztig series and unipotent characters of possibly disconnected dual centralizers for finite reductive groups, with an enriched version for disconnected groups.
Constructs Hecke algebras and asymptotic versions for G(M,M,N) complex reflection groups by generalizing the dihedral case.
citing papers explorer
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A Pinned Local Langlands Correspondence for Depth-Zero Supercuspidal Representations
A pinning-normalized local Langlands correspondence is constructed for depth-zero supercuspidal representations by matching toral, finite cuspidal, and unipotent pieces.
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Gelfand--Kirillov dimensions of highest weight modules for basic classical Lie superalgebras
Combinatorial algorithm extends classical Lie algebra methods to compute GK dimensions for highest weight modules over sl(m|n) and osp(2|2n), showing dependence only on the even part.
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Pinned Jordan Decomposition of Characters and Depth-Zero Hecke Algebras
A pinned canonical bijection is constructed between Lusztig series and unipotent characters of possibly disconnected dual centralizers for finite reductive groups, with an enriched version for disconnected groups.
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On Hecke and asymptotic categories for a family of complex reflection groups
Constructs Hecke algebras and asymptotic versions for G(M,M,N) complex reflection groups by generalizing the dihedral case.