Group Theory

Download e-book for kindle: Arthur's Invariant Trace Formula and Comparison of Inner by Yuval Flicker

By Yuval Flicker

This monograph offers an obtainable and complete creation to James Arthur’s invariant hint formulation, a vital device within the idea of automorphic representations.  It synthesizes twenty years of Arthur’s examine and writing into one quantity, treating a hugely precise and sometimes tough topic in a clearer and extra uniform demeanour with out sacrificing any technical details. 

The booklet starts with a short evaluate of Arthur’s paintings and an evidence of the correspondence among GL(n) and its internal varieties quite often.  Subsequent chapters boost the invariant hint formulation in a sort healthy for purposes, beginning with Arthur’s facts of the elemental, non-invariant hint formulation, through a examine of the non-invariance of the phrases within the easy hint formulation, and, ultimately, an in-depth examine the advance 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 entice complicated graduate scholars, researchers, and others drawn to automorphic types and hint formulae.  Additionally, it may be used as a supplemental textual content in graduate classes on illustration theory.

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Arthur's Invariant Trace Formula and Comparison of Inner Forms by Yuval Flicker

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