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Autor(en): 
  • Yuval Z. Flicker
  • Arthur's Invariant Trace Formula and Comparison of Inner Forms 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   i.d.R. innert 14-24 Tagen versandfertig
    Veröffentlichung:  September 2016  
    Genre:  Schulbücher 
     
    Algebra / B / Group Theory / Group Theory and Generalizations / Groups & group theory / Lie groups / Linear Algebra / Linear and Multilinear Algebras, Matrix Theory / Mathematics and Statistics / Matrix theory / Number Theory / Topological groups / Topological Groups and Lie Groups / Topological Groups, Lie Groups
    ISBN:  9783319315911 
    EAN-Code: 
    9783319315911 
    Verlag:  Springer International Publishing 
    Einband:  Gebunden  
    Sprache:  English  
    Dimensionen:  H 241 mm / B 160 mm / D 37 mm 
    Gewicht:  1027 gr 
    Seiten:  580 
    Zus. Info:  HC runder Rücken kaschiert 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    This monograph provides an accessible and comprehensive introduction to James Arthur's invariant trace formula, a crucial tool in the theory of automorphic representations.  It synthesizes two decades of Arthur's research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details.  

    The book begins with a brief overview of Arthur's work and a proof of the correspondence between GL(n) and its inner forms in general.  Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur's proof of the basic, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth look at the development of the invariant formula.  The final chapter illustrates the use of the formula by comparing it for G' = GL(n) and its inner form G and for functions with matching orbital integrals. 

    Arthur's Invariant Trace Formula and Comparison of Inner Forms will appeal to advanced graduate students, researchers, and others interested in automorphic forms and trace formulae.  Additionally, it can be used as a supplemental text in graduate courses on representation theory.

      
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