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Groupes et algèbres de Lie
Nicolas Bourbaki
- 01 Jan 1971
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TL;DR: Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements as mentioned in this paper.
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Abstract: Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce premier volume du Livre sur les Groupes et algebre de Lie, neuvieme Livre du traite, est consacre aux concepts fondamentaux pour les algebres de Lie. Il comprend les paragraphes: - 1 Definition des algebres de Lie; 2 Algebre enveloppante d une algebre de Lie; 3 Representations; 4 Algebres de Lie nilpotentes; 5 Algebres de Lie resolubles; 6 Algebres de Lie semi-simples; 7 Le theoreme d Ado. Ce volume est une reimpression de l edition de 1971."
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Citations
Algèbres de Hecke quasi-ordinaires universelles
TL;DR: In this paper, an interpolation p -adique de l'ensemble des espaces de formes automorphes topologiques is presented, in which nous etudions les proprietes necessaires a la construction of familles p -addiques de systemes de valeurs propres for les operateurs de Hecke.
On Local and Global Conjugacy
TL;DR: In this article, the authors classify all even dimensional orthogonal irreducible representations which are locally conjugate but not globally conjugates in image in SO ( 2 N ), and with certain Langlands' functoriality these will lead to connected instances for the failure of multiplicity one for SO (2 N ) (named as LFMO), and gather most their local-global results in a purely representation theoretic way.
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Bounds for Behrend's conjecture on the canonical reduction
TL;DR: In this article, the authors proved the rationality of the canonical reduction of principal bundles and reductive group schemes for classical groups and gave new bounds for the conjecture for exceptional groups for G_2-bundles.
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