Eisenstein series and automorphic representations : with applications in string theory / Philipp Fleig, Max Planck Institute for Dynamics and Self-Organization, Germany, Henrik P. A. Gustafsson, Stanford University, California, Axel Kleinschmidt, Max Planck Institute for Gravitational Physics, Germany, Daniel Persson, Chalmers University of Technology, Gothenberg.
| Title | Eisenstein series and automorphic representations : with applications in string theory / Philipp Fleig, Max Planck Institute for Dynamics and Self-Organization, Germany, Henrik P. A. Gustafsson, Stanford University, California, Axel Kleinschmidt, Max Planck Institute for Gravitational Physics, Germany, Daniel Persson, Chalmers University of Technology, Gothenberg. |
|---|---|
| Publication Date: | 2018 |
| Publication Place | Cambridge, United Kingdom ; New York, NY - Cambridge University Press, 2018. |
| Subject | Eisenstein series, Automorphic functions, String models |
| Type | Book |
| Language | Arabic |
| Digital | No |
| Manuscript | No |
| Pages Count | 567 |
| Physical Dimensions | 24 cm |
| Library: | The Institute for Advanced Study (IAS) |
| Record ID | 3100001~!120927~!4984 |
| Library Location | Math Stacks |
| Date | 2018 |
| Notes | Includes bibliographical references and index.. 120927. xviii, 567 pages ; 24 cm. |
| İçindekiler | Motivation and background -- 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 -- Applications in String Theory -- Elements of string theory -- Automorphic scattering amplitudes -- Further occurrences of automorphic forms in string theory -- 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. |
| ISBN | 9781107189928, 1107189926 |
| Seri | Cambridge studies in advanced mathematics 176, Cambridge studies in advanced mathematics 176. |
