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- Q4800826 subject Q8280316.
- Q4800826 subject Q8851983.
- Q4800826 abstract "In mathematics, the Arthur–Selberg trace formula is a generalization of the Selberg trace formula from the group SL2 to arbitrary reductive groups over global fields, developed by James Arthur in a long series of papers from 1974 to 2003. It describes the character of the representation of G(A) on the discrete part L20(G(F)∖G(A)) of L2(G(F)∖G(A)) in terms of geometric data, where G is a reductive algebraic group defined over a global field F and A is the ring of adeles of F.There are several different versions of the trace formula. The first version was the unrefined trace formula, whose terms depend on truncation operators and have the disadvantage that they are not invariant. Arthur later found the invariant trace formula and the stable trace formula which are more suitable for applications. The simple trace formula (Flicker & Kazhdan 1988) is less general but easier to prove. The local trace formula is an analogue over local fields.Jacquet's relative trace formula is a generalization where one integrates the kernel function over non-diagonal subgroups.".
- Q4800826 wikiPageExternalLink 62.pdf.
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- Q4800826 wikiPageExternalLink 54.pdf.
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- Q4800826 wikiPageWikiLink Q8280316.
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- Q4800826 wikiPageWikiLink Q8851983.
- Q4800826 comment "In mathematics, the Arthur–Selberg trace formula is a generalization of the Selberg trace formula from the group SL2 to arbitrary reductive groups over global fields, developed by James Arthur in a long series of papers from 1974 to 2003.".
- Q4800826 label "Arthur–Selberg trace formula".