Christophe breuil (25 resultados)

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book gives a complete description of the de Rham complex of the Drinfeld space of dimension n 1 as a complex of representations of GLn(K), where n 2 and K is a finite field extension of the field of p-adic numbers. The group GLn(K) acts on the Drinfeld space of dimension n 1, hence on its complex of differential forms, yielding representations of GLn(K) that mathematicians began to study in the 1980s. Understanding these representations was one of the main motivations for the development of the theory of locally analytic representations of GLn(K), which can be seen as a p-adic analogue of Harish-Chandra s (gln,K)-modules (in the latter, K is a maximal compact subgroup of GLn(R)).A transparent description is provided of the global sections of the de Rham complex of the Drinfeld space of dimensionn-1 as a complex of (duals of) locally analytic representations of GLn(K), and an explicit partial splitting of this complex is constructed in the derived category of (duals of) locally analytic representations of GLn(K). Multiple intermediate results on Ext groups of locally analytic representations are established, which may be useful in other contexts. Requiring a light background in locally analytic representations, modules over enveloping algebras, and rigid spaces, the book is aimed at a general audience of number theorists and representation theorists.…

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Paperback. Condición: Brand New. 148 pages. French language. In Stock.

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Paperback. Condición: New. We reinterpret the main conjecture of [10] on the locally analytic Ext1 in a functorial way using (?, ?)-modules (possibly with t-torsion) over the Robba ring, making it more accurate. Then we prove several special or partial cases of this "improved" conjecture, notably for GL3(?p).…

Paperback. Condición: New. We reinterpret the main conjecture of [10] on the locally analytic Ext1 in a functorial way using (?, ?)-modules (possibly with t-torsion) over the Robba ring, making it more accurate. Then we prove several special or partial cases of this "improved" conjecture, notably for GL3(?p).…

Condición: gut. 2024. Sur Un Probleme De Compatibilite Local-Global Localement Analytique (English/French Edition) (Memoirs of the American Mathematical Society) In englischer Sprache. pages.

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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed. 163 pp. Englisch.…

Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.…