In
mathematics, the local trace formula 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 ''L''
2(''G''(F)), for ''G'' a
reductive algebraic group
In mathematics, a reductive group is a type of linear algebraic group over a field. One definition is that a connected linear algebraic group ''G'' over a perfect field is reductive if it has a representation with finite kernel which is a direct ...
over a
local field
In mathematics, a field ''K'' is called a (non-Archimedean) local field if it is complete with respect to a topology induced by a discrete valuation ''v'' and if its residue field ''k'' is finite. Equivalently, a local field is a locally compa ...
F.
References
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{{numtheory-stub
Automorphic forms
Theorems in number theory