Arthur’s Noninvariant Trace Formula

Yuval Z. Flicker
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Yuval Z. Flicker: Ariel University

Chapter Chapter 3 in Arthur's Invariant Trace Formula and Comparison of Inner Forms, 2016, pp 139-214 from Springer

Abstract: Abstract Let G G be a reductive connected algebraic group defined over a number field F. Fix a minimal parabolic subgroup P 0 P 0 and a Levi component $$M_{P_{0}}$$ of P 0, both defined over F. In this chapter we work only with standard parabolic subgroups standard parabolic subgroup of G, that is, parabolic subgroups P, defined over F, which contain P 0. We shall refer from now on to such groups simply as “parabolic subgroups.” Fix P. Let N P N P be the unipotent radical of P. Let M P be the unique Levi component of P which contains $$M_{P_{0}}$$ . M P Denote the split component of the center of M P by A P . A P The groups N P and A P are defined over F.

Keywords: Parabolic Subgroup; Split Components; Unipotent Radical; Levi Component; Eisenstein Series (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31593-5_3

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DOI: 10.1007/978-3-319-31593-5_3

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