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作者 Kaise, Tetsuo
書名 Représentations de Weil et GL₂ [electronic resource] : algèbres de division et GLn̳ : (vers les corps de classes galoisiens I, II) / Tetsuo Kaise
出版項 Berlin ; New York : Springer-Verlag, c1987
國際標準書號 9783540478713 (electronic bk.)
354047871X (electronic bk.)
book jacket
說明 1 online resource (vii, 203 p.)
系列 Lecture notes in mathematics, 0075-8434 ; 1252
Lecture notes in mathematics (Springer-Verlag) ; 1252
附註 Includes bibliographical references (p. 202-203) and index
Description based on print version record
Table des matires: Reprsentation de Weil de GL2 -- Algbres de division et GLn -- Bibliographie
This monograph represents the first two parts of the author's research on the generalization of class field theory for the noncommutative case. Part I concentrates on the construction of all the irreducible representations of a multiplicative group B* of a quaternion algebra B over a local field k with residue field of characteristic 2. These results are of considerable significance in the light of the connections found by Jacquet-Langlands between representations of GL2 (k) and B* and although they concern GL2 they also provide a model for GLn. Part II deals with n > 2 unifying results previously obtained by Weil, Jacquet-Langlands, Bernstein-Zelevinskii, Deligne-Kazdan and others. More than a mere comparison of these results, it reveals an intrinsic correspondence found with the aid of the base restriction process of algebraic groups and the substitution of division of algebras for Cartan subalgebras. The approach is purely local and therefore may be applied also to other types of reductive groups, in particular Sp2l as well as to archimedean cases. This book will be of great interest to researchers and graduate students working in algebraic number theory and automorphic forms
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鏈接 Print version: Kaise, Tetsuo. Représentations de Weil et GL₂. Berlin ; New York : Springer-Verlag, c1987 3540178279 (DLC) 87154717 (OCoLC)16933702
主題 Representations of algebras
Weil group
Corps de classes
Représentations de groupes
Groupes linéaires algébriques
Formes automorphes
Divisionsalgebra. swd
Lineare Gruppe. swd
Weil-Darstellung. swd
Representations of algebras. fast (OCoLC)fst01094934
Weil group. fast (OCoLC)fst01173524
Electronic books
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