Local trace formula

Short description: On the character of the representation of a reductive algebraic group

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

• Arthur, James (1991), "A local trace formula", Publications Mathématiques de l'IHÉS 73 (73): 5–96, doi:10.1007/BF02699256, ISSN 1618-1913, http://www.numdam.org/item?id=PMIHES_1991__73__5_0