共查询到20条相似文献,搜索用时 15 毫秒
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Michel Matignon 《manuscripta mathematica》1999,99(1):93-109
Let k be an algebraically closed field of characteristic p>0, W(k) its ring of Witt vectors and R a complete discrete valuation ring dominating W(k). Consider finite groups G≃ (ℤ/pℤ)
n
, p≥ 2, n≥1. In a former paper we showed that a given realization of such a G as a group of k-automorphisms of k[[z]] must satisfy some conditions in order to have a lifting as a group of R-automorphisms of R[[Z]]. In this note, we give for every G (all p≥ 2, n>1) a realization as an automorphism group of k[[z]] which ca be lifted as a group of R-automorphisms of R[[Z]] for suitable R.
Received: 22 December 1998 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(7):781-786
We study the L2 spherical Fourier transform associated with the bundle of differential forms over real hyperbolic spaces by using the Fourier-Jacobi transform on L2 (R). Our results lead to the analytic Plancherel formula for the Fourier transform of differential forms, and to the exact expression for the heat kernel via the inversion of the Abel transform. 相似文献
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Abdelkader Necer 《代数通讯》2013,41(12):6175-6189
Abstract Let 𝒢 be a simple finite dimensional Lie algebra over the complex numbers and let 𝒢¯ = 𝒢1 ⊕…⊕ 𝒢 k be a regular semisimple subalgebra of 𝒢 with each 𝒢 i being a simple algebra of type A or C. It is shown that the lattice of submodules of a generalized Verma 𝒢-module constructed by parabolic induction starting from a simple torsion free 𝒢¯-module is almost always isomorphic to the lattice of submodules of an associated module formed as a quotient of a classical Verma module by a sum of Verma submodules. In particular, it is shown that the Mathieu admissible Verma modules involved have maximal submodules which are the sum of Verma modules. 相似文献
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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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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》2001,332(7):611-614
After having carried out a functional calculus for sub-elliptic sub-Laplacians, we construct a non-commutative residue for Heisenberg manifolds. 相似文献
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Aram Mikaelian 《Journal of Algebra》2010,323(5):1266-1287
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Miki Hirano 《Compositio Mathematica》2001,128(2):177-216
In this paper we define a kind of generalized spherical functions on Sp(2, R). We call it Fourier–Jacobi type, since it can be considered as a generalized Whittaker model associated with the Jacobi maximal parabolic subgroup. Also we give the multiplicity theorem and an explicit formula of these functions for discrete series representations of Sp(2, R). 相似文献
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Youssef Hantout 《manuscripta mathematica》1988,62(4):383-399
LetG be a Lie group andH a closed subgroup ofG. We denote by (G,H) the groupoïd of germs of left translations ofG over the homogeneous spaceG/H.LetV be a compact manifold andx the universal characteristic class of dimensionk which belongs to the vector spaceH
cont
k
((G, H)).The evaluation ofx over all the (G, H)-structures overV determines a subsetA
(G, H) (x, V) of the vector spaceH
k
(V;).We show that in some cases this set is finite. 相似文献
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Nefton Pali 《manuscripta mathematica》2005,118(3):311-337
If (X, J) is an almost complex manifold, then a function u is said to be plurisubharmonic on X if it is upper semi-continuous and its restriction to every local pseudo-holomorphic curve is subharmonic. As in the complex
case, it is conjectured that plurisubharmonicity is equivalent to the positivity of the (1,1)-current , (the (1,1)-current need not be closed here!). The conjecture is trivial if u is of class The result is elementary in the complex integrable case because the operator can be written as an operator with constant coefficients in complex coordinates. Hence the positivity of the current is preserved
by regularising with usual convolution kernels. This is not possible in the almost complex non integrable case and the proof
of the result requires a much more intrinsic study. In this chapter we prove the necessity of the positivity of the (1,1)-current
. We prove also the sufficiency of the positivity in the particular case of an upper semi-continuous function f which is continuous in the complement of the singular locus f−1(−∞).
Résume Une fonction semi-continue supérieurement u sur une variété presque complexe (X, J) est dite plurisousharmonique si la restriction à toute courbe pseudo-holomorphe locale est sous-harmonique. Comme dans le cas analytique complexe, nous conjecturons que la notion de plurisousharmonicité pour une fonction u est équivalente à la positivité du (1,1)-courant , (lequel n'est pas forcément fermé dans le cas non intégrable). La conjecture est triviale dans le cas d'une fonction u de classe Le résultat en question est élémentaire dans le cas complexe intégrable car l'opérateur s'écrit comme un opérateur à coefficients constants dans des coordonnées complexes. On peut donc facilement conserver la positivité du courant en régularisant avec des noyaux usuels. Dans le cas presque complexe non intégrable ceci ce n'est pas possible et la preuve du résultat exige un étude beaucoup plus intrinsèque. Nous montrons la nécessité de la positivité du (1,1)-courant en utilisant la théorie locale des courbes J-holomorphes. Nous montrons aussi la suffisance de la positivité dans le cas particulier d'une fonction f semi-continue supérieurement et continue en dehors du lieu singulier f−1(−∞).相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》2001,332(2):167-170
We consider the Markovian connection on the Riemannian path spaces. The curvature is computed explicitly and a Weitzenböck formula is established. 相似文献
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A. B. Aleksandrov 《Journal of Mathematical Sciences》2004,120(5):1645-1652
We study Toeplitz–Schur multipliers of the Schatten–von Neumann class S
p for 0 < p < 1. We describe all functions F on an arbitrary commutative locally compact group G satisfying the following condition: for any integral operator in S
p with kernel function k(x,y), the kernel function F(x-y)k(x)k(y) defines also an integral operator in S
p. Bibliography: 4 titles. 相似文献
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Christophe Breuil 《Compositio Mathematica》2003,138(2):165-188
Let p be a prime number and F a complete local field with residue field of characteristic p. In 1993, Barthel and Livné proved the existence of a new kind of
-representations of GL2(F) that they called 'supersingular' and on which one knows almost nothing. In this article, we determine all the supersingular representations of GL2(Q
p
) with their intertwinings. This classification shows a natural bijection between the set of isomorphism classes of supersingular representations of GL2(Q
p
) and the set of isomorphism classes of two-dimensional irreducible
-representations of
. 相似文献