共查询到20条相似文献,搜索用时 46 毫秒
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Jean Dieudonné 《Mathematische Annalen》1957,134(2):114-133
Sans résuméWork partially done under contract AF 49 (638)–106 with the U. S. Air Force. 相似文献
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Patrice Tauvel 《代数通讯》2013,41(6):2317-2353
Let 𝔤 be a solvable Lie algebra and Q an (ad 𝔤)-stable prime ideal of the symmetric algebra S(𝔤) of 𝔤. If E denotes the set of nonzero elements of S(𝔤)/Q which are eigenvectors for the adjoint action of 𝔤 on S(𝔤)/Q, then the localization (S(𝔤)/Q) E has a natural structure of Poisson algebra. We study this algebra here. Soient 𝔤 une algèbre de Lie résoluble et Q un idéal premier (ad 𝔤)-stable de l'algèbre symétrique S(𝔤) de 𝔤. Si E est l'ensemble des éléments non nuls de S(𝔤)/Q qui sont vecteurs propres pour l'action adjointe de 𝔤 dans S(𝔤)/Q, l'algèbre localisée (S(𝔤)/Q) E a une structure naturelle d'algèbre de Poisson. On étudie ici cette algèbre. 相似文献
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A. I. Badulescu 《manuscripta mathematica》2000,101(1):49-70
We prove the orthogonality relations for characters of GL n (F) with F a local field of positive characteristic. Using this, we establish a Jacquet-Langlands correspondence with the group of invertible elements of a central division algebra of dimension n 2 over F, and the transfer of orbital integrals between these two groups. Received: 16 February 1999 相似文献
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We study the class of algebraic Lie algebras for which the generic stabilizer of the coadjoint action is reductive modulo the center. 相似文献
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L. García Vergnolle 《manuscripta mathematica》2007,124(4):489-505
Résumé Dans ce travail on décrit les algèbres de Lie quasi-filiformes de rang non nul. De plus, on rappelle et corrige la classification
des algèbres de Lie filiformes admettant un tore de dérivations, ainsi que la liste des algèbres graduées naturellement et
quasi-filiformes.
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Giancarlo Lucchini Arteche 《Comptes Rendus Mathematique》2013,351(7-8):299-302
Using a theorem of Gabber on alterations, we prove a result describing the prime-to-p torsion part of the unramified Brauer group of a smooth and geometrically integral variety V over a global field of characteristic p by evaluating the elements of Br V at its local points. 相似文献
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Soit un sous-groupe discret de type fini dun groupe de Lie semi-simple G. On donne ici une condition suffisante pour que linjection de dans le groupe G admet un voisinage de représentations fidèles et discrètes. 相似文献
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We prove in a simpler and direct manner using the spectral theory that every Fréchet algebra which is rationnally generated
by a real or orthogonal subset is functionally continuous. These results include as a special case the results of R. Arens,
H. Goldmann, E. A. Michael and W. Zelazko.
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》2001,332(8):681-684
We describe the rôle of the notion of pre-Lie algebra in the combinatorics of renormalization, as formalized by Connes and Kreimer, and in the study of flows of vector fields. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》2001,332(2):105-108
Let H=(a,b)F be a division quaternion algebra over a field F of characteristic not 2. Denote by τ the canonical involution on H and by K a splitting field of H. If h is a skew-hermitian form over (H,τ) then, by extension of scalars to K and by Morita equivalence, we obtain a quadratic form hK over K. This gives a map of Witt groups ρ:W−1(H,τ)→W(K) induced by ρ(h)=hK. When K is a generic splitting field of H we prove in this note that the map ρ is injective. 相似文献
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You B. Hakimjanov 《Geometriae Dedicata》1991,40(3):269-295
Let N
nbe the variety of n-dimensional complex Lie algebra laws. For n12, two irreducible components in the variety N
nare described. The characteristically nilpotent filiform Lie algebras are studied. 相似文献