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010   $a3-319-31593-5
024 7 $a10.1007/978-3-319-31593-5
035   $a(CKB)3710000000861942
035   $a(DE-He213)978-3-319-31593-5
035   $a(MiAaPQ)EBC4689376
035   $a(PPN)195512944
035   $a(EXLCZ)993710000000861942
100   $a20160914d2016      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aArthur's invariant trace formula and comparison of inner forms /$fby Yuval Z. Flicker
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (XI, 567 p. 3 illus.)
311   $a3-319-31591-9 
320   $aIncludes bibliographical references and indexes.
327   $aIntroduction -- Local Theory -- Arthur's Noninvariant Trace Formula -- Study of Non-Invariance -- The Invariant Trace Formula -- Main Comparison.
330   $aThis 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.
606   $aGroup theory
606   $aMatrix theory
606   $aAlgebra
606   $aTopological groups
606   $aLie groups
606   $aNumber theory
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
615  0$aGroup theory.
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aTopological groups.
615  0$aLie groups.
615  0$aNumber theory.
615 14$aGroup Theory and Generalizations.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aTopological Groups, Lie Groups.
615 24$aNumber Theory.
676   $a512.2
700   $aFlicker$b Yuval Z$4aut$4http://id.loc.gov/vocabulary/relators/aut$0441516
906   $aBOOK
912   $a9910254083003321
996   $aArthur's invariant trace formula and comparison of inner forms$91523168
997   $aUNINA