Eisenstein series and automorphic representations: with applications in string theory
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)...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
176 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 UBM01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (xviii, 567 Seiten) |
| ISBN: | 9781316995860 |
| DOI: | 10.1017/9781316995860 |
Internformat
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 176 | |
| 520 | |a 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 | ||
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Datensatz im Suchindex
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| author | Fleig, Philipp ca. 20./21. Jh Gustafsson, Henrik P. A. Kleinschmidt, Axel Persson, Daniel |
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| author_sort | Fleig, Philipp ca. 20./21. Jh |
| author_variant | p f pf h p a g hpa hpag a k ak d p dp |
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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316995860 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9781316995860 |
| language | English |
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| spelling | Fleig, Philipp ca. 20./21. Jh. Verfasser (DE-588)1046709275 aut Eisenstein series and automorphic representations with applications in string theory Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany, Henrik P.A. Gustafsson, Stanford University, California, Axel Kleinschmidt, Max-Planck-Institut für Gravitationsphysik, Germany, Daniel Persson, Chalmers University of Technology, Gothenburg Cambridge Cambridge University Press 2018 1 Online-Ressource (xviii, 567 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 176 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 Eisenstein series Automorphic functions String models Gustafsson, Henrik P. A. Verfasser (DE-588)1164244167 aut Kleinschmidt, Axel Verfasser (DE-588)1164244523 aut Persson, Daniel Verfasser (DE-588)1164244639 aut Erscheint auch als Druck-Ausgabe, Hardcover 978-1-107-18992-8 Cambridge studies in advanced mathematics 176 (DE-604)BV044781283 176 https://doi.org/10.1017/9781316995860 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Fleig, Philipp ca. 20./21. Jh Gustafsson, Henrik P. A. Kleinschmidt, Axel Persson, Daniel Eisenstein series and automorphic representations with applications in string theory Cambridge studies in advanced mathematics Eisenstein series Automorphic functions String models |
| title | Eisenstein series and automorphic representations with applications in string theory |
| title_auth | Eisenstein series and automorphic representations with applications in string theory |
| title_exact_search | Eisenstein series and automorphic representations with applications in string theory |
| title_full | Eisenstein series and automorphic representations with applications in string theory Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany, Henrik P.A. Gustafsson, Stanford University, California, Axel Kleinschmidt, Max-Planck-Institut für Gravitationsphysik, Germany, Daniel Persson, Chalmers University of Technology, Gothenburg |
| title_fullStr | Eisenstein series and automorphic representations with applications in string theory Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany, Henrik P.A. Gustafsson, Stanford University, California, Axel Kleinschmidt, Max-Planck-Institut für Gravitationsphysik, Germany, Daniel Persson, Chalmers University of Technology, Gothenburg |
| title_full_unstemmed | Eisenstein series and automorphic representations with applications in string theory Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany, Henrik P.A. Gustafsson, Stanford University, California, Axel Kleinschmidt, Max-Planck-Institut für Gravitationsphysik, Germany, Daniel Persson, Chalmers University of Technology, Gothenburg |
| title_short | Eisenstein series and automorphic representations |
| title_sort | eisenstein series and automorphic representations with applications in string theory |
| title_sub | with applications in string theory |
| topic | Eisenstein series Automorphic functions String models |
| topic_facet | Eisenstein series Automorphic functions String models |
| url | https://doi.org/10.1017/9781316995860 |
| volume_link | (DE-604)BV044781283 |
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