Shalika Germs for $$\mathfrak{s}\mathfrak{l}_{n}$$ and $$\mathfrak{s}\mathfrak{p}_{2n}$$ Are Motivic

DOI10.1007/978-3-319-17987-2_3zbMath1341.22013arXiv1412.3891OpenAlexW2561295522MaRDI QIDQ2799951

Sharon Frechette, Lance Robson, Julia Gordon

Publication date: 14 April 2016

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3891

Mathematics Subject Classification ID

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

Related Items (1)

Nilpotent orbits of orthogonal groups over \(p\)-adic fields, and the DeBacker parametrization

Cites Work

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• On nilpotent orbits of \(\mathrm{SL}_{n}\) and \(\mathrm{Sp}_{2n}\) over a local non-Archimedean field
• Constructible motivic functions and motivic integration
• Orbital integrals in reductive groups
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Motivic functions, integrability, and applications to harmonic analysis on \(p\)-adic groups
• A theorem on semi-simple \(p\)-adic groups
• Parametrizing nilpotent orbits via Bruhat-Tits theory
• Nilpotent orbits over ground fields of good characteristic
• Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
• Homogeneity results for invariant distributions of a reductive p-adic group1
• Local character expansions
• Local integrability results in harmonic analysis on reductive groups in large positive characteristic

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