The Atiyah-Schmid formula for reductive groups

Jun Yang

The Atiyah-Schmid formula for reductive groups

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arxiv 2503.13929 v2 pith:2KMVN4VY submitted 2025-03-18 math.RT math.FAmath.OA

Jun Yang This is my paper · ORCID

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keywords atiyah-schmidformulagroupsreductivearithmeticgeneralizedgiveprojective

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We give the generalized Atiyah-Schmid formula for projective tempered representations. Then we prove the Atiyah-Schmid formula for arithmetic subgroups of real reductive groups.

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Projective representations of almost unimodular groups
math.OA 2025-09 conditional novelty 6.0 of 10

Formal degree and Atiyah-Schmid dimension formulas hold for square integrable projective representations of second countable almost unimodular groups with a 2-cocycle twist.

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