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Notes on Jacquet-Langlands' theory = Jacquet-Langlands lǐ lùn by Roger Godement is a nonfiction available to read on EtoBox.

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Commentary on the Jacquet-Langlands Theory -- Robert Langlands Note on the Genesis of the Book by Jacquet and Langlands -- Herve Jacquet Preface Contents Chapter 1. Representations of the GL_2 Group of a p-adic Field 1. Admissible representations 2. The Kirillov model: preliminary construction 3. The commutativity lemma 4. The finiteness property 5. Whittaker functions 6. A theorem on the contragredient of a representation 7. Supercuspidal representations 8. Introduction to the principal series 9. A lemma on Fourier transforms 10. The principal series and the special representations 11. The equivalence π_{μ_1, μ_2} ~ π_{μ_2, μ_1} 12. The fundamental functional equation 13. Computation of γ_π(χ, s) for the principal series and the special representations 14. The local factors L_π(χ, s) 15. The factors ε_π(χ, s) 16. The case of spherical representations 17. Unitary representations: results 18. Unitary representations: the supercuspidal case 19. Unitaryrepresentations in the principal series 20. Unitary representations: the special case Chapter 2. The Archimedean Case 1. Admissible representations 2. The representations ρ_{μ_1, μ_2} 3. Irreducible components of ρ_{μ_1, μ_2} (case F =

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Author
Roger Godement
Publisher
American Mathematical Society / Higher Education Press
Published
2018
Language
EN
ISBN
9787040503036
Category
nonfiction
Subjects
Mathematics, Stem

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