scientific article

zbMath0694.22012MaRDI QIDQ3469304

Jian-Shu Li

Publication date: 1989

Full work available at URL: http://www.numdam.org/item?id=CM_1989__71_1_29_0

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zbMATH Keywords

symplectic grouplocal fieldlow rank representationstype I classical groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (20)

Unnamed Item ⋮ The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\) ⋮ The explicit theta correspondence for reductive dual pairs \((\mathrm{Sp}(p,q),O^{\ast}(4))\) ⋮ A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method ⋮ Unnamed Item ⋮ The Local Langlands Conjecture for ⋮ Explicit Hilbert spaces for certain unipotent representations. III ⋮ The character and the wave front set correspondence in the stable range ⋮ Rank ideals and Capelli identities. ⋮ Nilpotent orbits and some small unitary representations of indefinite orthogonal groups. ⋮ Characters, dual pairs, and unipotent representations ⋮ Degenerate principal series representations for quaternionic unitary groups ⋮ On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups ⋮ First eigenvalue of Laplace operator on locally symmetric space ⋮ Unnamed Item ⋮ Small principal series and exceptional duality for two simply laced exceptional groups ⋮ Characters, dual pairs, and unitary representations ⋮ Rank and duality in representation theory ⋮ Unitary Shimura correspondences for split real groups ⋮ One-dimensional representations of \({U(p,q)}\) and the Howe correspondence

Cites Work

• The structure of a unitary factor group
• Singular unitary representations of classical groups
• Distinguished representations and modular forms of half-integral weight
• Some applications of the Weil representation
• Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
• Représentations supercuspidales du groupe metaplectique
• Asymptotic properties of unitary representations
• Shimura and Shintani correspondences
• Distinguished cusp forms are theta series
• Sur la formule de Siegel dans la théorie des groupes classiques
• Sur certains groupes d'opérateurs unitaires
• Unitary Representations of Reductive Lie Groups. (AM-118)
• A Notion of Rank for Unitary Representations of General Linear Groups
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