Multiplicities of representations in algebraic families

DOI10.5802/crmath.623MaRDI QIDQ6633602

Yangyu Fan, Li Cai

Publication date: 6 November 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

spherical varietiesbranching lawshomological multiplicities

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

• Unnamed Item
• Unnamed Item
• Resolutions of tempered representations of reductive \(p\)-adic groups
• On representations distinguished by unitary groups
• A vanishing Ext-branching theorem for \((\mathrm{GL}_{n+1}(F),\mathrm{GL}_n(F)\)
• Representation theory and sheaves on the Bruhat-Tits building
• Spherical pairs over close local fields
• The universal \(p\)-adic Gross-Zagier formula
• Top degree Ext-groups and relatively supercuspidal spectra
• On a multiplicity formula for spherical varieties
• Homological multiplicities in representation theory of \(p\)-adic groups
• \(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)
• The local Langlands correspondence for $GL_n$ in families
• Introduction to Derived Categories
• Local Langlands correspondence, local factors, and zeta integrals in analytic families
• Periods and harmonic analysis on spherical varieties
• EXT-ANALOGUES OF BRANCHING LAWS
• Generalizing the MVW involution, and the contragredient
• Families of Canonical Local Periods on Spherical Varieties

This page was built for publication: Multiplicities of representations in algebraic families