عنوان

Eisenstein series and automorphic representations :

شابک

1107189926

شابک

9781107189928

عنوان اصلي

Eisenstein series and automorphic representations :

نام عام مواد

[Book]

ساير اطلاعات عنواني

with applications in string theory /

نام نخستين پديدآور

Philipp Fleig [and three others].

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

2018.

تاریخ نشرو بخش و غیره

©2018

نام خاص و کميت اثر

xviii, 567 pages ;

ابعاد

24 cm.

عنوان فروست

Cambridge studies in advanced mathematics ;

مشخصه جلد

176

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Motivation and background -- Part One. Automorphic representations -- Preliminaries on p-adic and adelic technology -- Basic notions from lie algebras and lie groups -- Automorphic forms -- Automorphic representations and Eisenstein series -- Whittaker functions and fourier coefficients -- Fourier coefficients of Eisenstein series on SL (2, A) -- Langlands constant term formula -- Whittaker coefficients of Eisenstein series -- Analysing Eisenstein series and small representations -- Hecke theory and automorphic L-functions -- Theta correspondences -- Part Two. Applications in string theory -- Elements of string theory -- Automorphic scattering amplitudes -- Further occurrences of automorphic forms in string theory -- Part Three. Advanced topics -- Connections to the Langlands Program -- Whittaker functions, crystals and multiple Dirichlet series -- Automorphic forms on non-split real forms -- Extension to Kac-Moody groups.

بدون عنوان

0

متن يادداشت

This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands constant term formula for Eisenstein series on G(A) as well as the Casselman-Shalika formula for the p-adic spherical Whittaker function. This book also covers more advanced topics such as spherical Hecke algebras and automorphic L-functions. Many of these mathematical results have natural interpretations in string theory, and so some basic concepts of string theory are introduced with an emphasis on connections with automorphic forms. Throughout the book special attention is paid to small automorphic representations, which are of particular importance in string theory but are also of independent mathematical interest. Numerous open questions and conjectures, partially motivated by physics, are included to prompt the reader's own research.

موضوع مستند نشده

Automorphic functions.

موضوع مستند نشده

Eisenstein series.

موضوع مستند نشده

String models.

موضوع مستند نشده

Automorphic functions.

موضوع مستند نشده

Eisenstein series.

موضوع مستند نشده

String models.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Fleig, Philipp

تاريخ عمليات

20200822150319.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y