By Yuval Z. Flicker
This monograph presents an available and entire creation to James Arthur’s invariant hint formulation, a vital instrument within the conception of automorphic representations. It synthesizes 20 years of Arthur’s examine and writing into one quantity, treating a hugely targeted and sometimes tricky topic in a clearer and extra uniform demeanour with out sacrificing any technical information.
The e-book starts off with a short review of Arthur’s paintings and an explanation of the correspondence among GL(n) and its internal kinds ordinarily. next chapters increase the invariant hint formulation in a kind healthy for purposes, beginning with Arthur’s facts of the fundamental, non-invariant hint formulation, via a learn of the non-invariance of the phrases within the simple hint formulation, and, eventually, an in-depth examine the improvement of the invariant formulation. the ultimate bankruptcy illustrates using the formulation by means of evaluating it for G’ = GL(n) and its internal shape G< and for services with matching orbital integrals.
Arthur’s Invariant hint formulation and comparability of internal Forms will attract complicated graduate scholars, researchers, and others attracted to automorphic kinds and hint formulae. also, it may be used as a supplemental textual content in graduate classes on illustration theory.