Article · Wikipedia archive · Last revised Jul 30, 2026

Local trace formula

In mathematics, the local trace formula (Arthur 1991) is a local analogue of the Arthur–Selberg trace formula that describes the character of the representation of G(F) on the discrete part of L2(G(F)), for G a reductive algebraic group over a local field F.

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Jul 30, 2026

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In mathematics, the local trace formula (Arthur 1991) is a local analogue of the Arthur–Selberg trace formula that describes the character of the representation of G(F) on the discrete part of L²(G(F)), for G a reductive algebraic group over a local field F.

References

References

Arthur, James (1991), "A local trace formula", Publications Mathématiques de l'IHÉS, 73 (73): 5–96, doi:10.1007/BF02699256, ISSN 1618-1913, MR 1114210, S2CID 17691368