Euler-Poincaré characteristic for the oscillator representation

DOI10.1007/978-3-319-59728-7_1zbMath1433.11058arXiv1604.07794OpenAlexW2344150672MaRDI QIDQ1728685

Dipendra Prasad, Jeffrey D. Adams, Gordan Savin

Publication date: 25 February 2019

Full work available at URL: https://arxiv.org/abs/1604.07794

zbMATH Keywords

oscillator representationdual pairsHowe correspondenceEuler-poincare characteristic

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

Projective cases for the restriction of the oscillator representation to dual pairs of type I ⋮ Big theta equals small theta generically ⋮ Family of 𝒟-modules and representations with a boundedness property ⋮ Howe duality and dichotomy for exceptional theta correspondences ⋮ Homological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability

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