國立虎尾科技大學 |

Arthur's Invariant Trace Formula and Comparison of Inner Forms

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Arthur's Invariant Trace Formula and Comparison of Inner Forms/ by Yuval Z. Flicker.
作者:	Flicker, Yuval Z.
面頁冊數:	XI, 567 p. 3 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Group theory. -
電子資源:	https://doi.org/10.1007/978-3-319-31593-5
ISBN:	9783319315935

Arthur's Invariant Trace Formula and Comparison of Inner Forms
Flicker, Yuval Z.

Arthur's Invariant Trace Formula and Comparison of Inner Forms[electronic resource] /by Yuval Z. Flicker. - 1st ed. 2016. - XI, 567 p. 3 illus.online resource.

Introduction -- Local Theory -- Arthur's Noninvariant Trace Formula -- Study of Non-Invariance -- The Invariant Trace Formula -- Main Comparison.

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.

ISBN: 9783319315935

Standard No.: 10.1007/978-3-319-31593-5doiSubjects--Topical Terms:

527791
Group theory.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

Arthur's Invariant Trace Formula and Comparison of Inner Forms
LDR:02783nam a22003975i 4500 001 970792
003 DE-He213
005 20200629123437.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319315935 $9 978-3-319-31593-5
024 7 $a 10.1007/978-3-319-31593-5 $2 doi
035 $a 978-3-319-31593-5
050 4 $a QA174-183
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 512.2 $2 23
100 1 $a Flicker, Yuval Z. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1074386
245 1 0 $a Arthur's Invariant Trace Formula and Comparison of Inner Forms $h [electronic resource] / $c by Yuval Z. Flicker.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2016.
300 $a XI, 567 p. 3 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Introduction -- Local Theory -- Arthur's Noninvariant Trace Formula -- Study of Non-Invariance -- The Invariant Trace Formula -- Main Comparison.
520 $a 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.
650 0 $a Group theory. $3 527791
650 0 $a Matrix theory. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Topological groups. $3 885827
650 0 $a Lie groups. $3 527929
650 0 $a Number theory. $3 527883
650 1 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
650 2 4 $a Topological Groups, Lie Groups. $3 672074
650 2 4 $a Number Theory. $3 672023
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319315911
776 0 8 $i Printed edition: $z 9783319315928
776 0 8 $i Printed edition: $z 9783319810737
856 4 0 $u https://doi.org/10.1007/978-3-319-31593-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)