共查询到20条相似文献,搜索用时 15 毫秒
1.
The Darboux transformation as an example of an integrable infinite-dimensional Poisson correspondence is discussed in the context of the general factorization problem. Generalizations related to energy-dependent Schrödinger operators and to Kac-Moody algebras are considered. We also present the finite-dimensional reductions of the Darboux transformation to stationary flows.Dedicated to the memory of Ira DorfmanTranslated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 2, pp. 225–245, November, 1995. 相似文献
2.
The Robinson-Schensted correspondence, a bijection between nonnegative matrices and pair of tableaux, is investigated. The representation, in the tableau, of the dihedral symmetries of the matrix are derived in a simple manner using a shape-preserving anti-isomorphism of the platic monoid. The Robinson-Schensted correspondence is shown to be equivalent to the Hillman-Grassl bijection between reverse plane partitions and tabloids. A generalized insertion method for the Robinson-Schensted correspondence is obtained. 相似文献
3.
A. V. Pukhlikov 《Mathematical Notes》2000,68(1):103-112
We prove that each fiber-wise birational correspondence between smooth fibrations into (Fano) hypersurfaces, which is biregular
on a generic fiber, is a fiber-wise isomorphism.
Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 120–130, July, 2000. 相似文献
4.
R. Kannan 《Journal of multivariate analysis》1981,11(2):230-243
The question of existence of random solutions of nonlinear equations involving random correspondences is studied by direct use of the results from the deterministic case without resorting to iterative techniques. Applications to stochastic control and nonlinear random operator equations are given. 相似文献
5.
I. V. Zefirov 《Mathematical Notes》1997,61(5):553-560
In this paper, the naturalness of the appearance of the group approach in the study of problems of algebraic commutation is
considered. New, previously unknown solutions are obtained. Special attention is paid to an example of commutation obtained
from the icosahedral equation.
Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 662–670, May, 1997.
Translated by A. I. Shtern 相似文献
6.
Hongyu He 《Advances in Mathematics》2005,190(2):225-263
Theta correspondence θ over is established by Howe (J. Amer. Math. Soc. 2 (1989) 535). In He (J. Funct. Anal. 199 (2003) 92), we prove that θ preserves unitarity under certain restrictions, generalizing the result of Li (Invent. Math. 97 (1989) 237). The goal of this paper is to elucidate the idea of constructing unitary representation through the propagation of theta correspondences. We show that under a natural condition on the sizes of the related dual pairs which can be predicted by the orbit method (J. Algebra 190 (1997) 518; Representation Theory of Lie Groups, Park City, 1998, pp. 179-238; The Orbit Correspondence for real and complex reductive dual pairs, preprint, 2001), one can compose theta correspondences to obtain unitary representations. We call this process quantum induction. 相似文献
7.
We use correspondences to define a purely topological equivariant bivariant K-theory for spaces with a proper groupoid action. Our notion of correspondence differs slightly from that of Connes and Skandalis. Our construction uses no special features of equivariant K-theory. To highlight this, we construct bivariant extensions for arbitrary equivariant multiplicative cohomology theories.We formulate necessary and sufficient conditions for certain duality isomorphisms in the topological bivariant K-theory and verify these conditions in some cases, including smooth manifolds with a smooth cocompact action of a Lie group. One of these duality isomorphisms reduces bivariant K-theory to K-theory with support conditions. Since similar duality isomorphisms exist in Kasparov theory, the topological and analytic bivariant K-theories agree if there is such a duality isomorphism. 相似文献
8.
9.
Mark L. Lewis 《代数通讯》2013,41(11):3587-3604
The focus of this paper is a well-known lemma: A continuous group homomorphism between profinite groups which has dense image must be an open surjection. Its importance lies in the common occurrence of infinite inversely directed systems of finite groups. A limit, in the category of groups, is rarely useful. Instead, experience reveals that an inverse limit in the topologized sense completely characterizes the system. Principles like the above lemma empower this model. The author needs “good” inverse limits for a broad clas of categories. We develop an idea from the 1960s: Given a categoryn C, expand it with purely formal projective limits. Although definition of such a category is elementary, the approach has difficulties. In the past, crucial manipulations refused generalization. Our thesis is that, by tightening hypotheses, the method creates a category valuable to analysis. In this paper, we 1. review and modify the categorical formulation, 2. prove a structure theory for pullbacks and inversely directed systems, and 3. generalize the indicated lemma. 相似文献
10.
Xiaoai Lin 《Proceedings of the American Mathematical Society》2001,129(5):1329-1334
An almost independent set-valued process on a Loeb product space is shown to be representable as the closure of a sequence of its selections which are almost independent themselves. This provides a Castaing type representation in terms of independent correspondences. Different definitions of independence for correspondences in the literature are also unified in a general setting. 相似文献
11.
12.
I.M Isaacs 《Advances in Mathematics》1982,43(3):284-306
13.
P. G. Gres' 《Ukrainian Mathematical Journal》1989,41(12):1408-1412
14.
Let π(G,A):IrrA(G)→Irr(CG(A)) be the Glauberman–Isaacs correspondence, where G and A are finite groups with coprime orders and A acts on G by automorphisms. Let B be a subgroup of A. In this setting, we give some new conditions for the fixed-point subgroups CG(A) and CG(B) such that χπ(G,A) is an irreducible constituent of the restriction of χπ(G,B) to CG(A) for all χIrrA(G). 相似文献
15.
16.
M. Manickam B. Ramakrishnan 《Transactions of the American Mathematical Society》2000,352(6):2601-2617
In this paper, we set up Shimura and Shintani correspondences between Jacobi forms and modular forms of integral weight for arbitrary level and character, and generalize the Eichler-Zagier isomorphism between Jacobi forms and modular forms of half-integral weight to higher levels. Using this together with the known results, we get a strong multiplicity 1 theorem in certain cases for both Jacobi cusp newforms and half-integral weight cusp newforms. As a consequence, we get, among other results, the explicit Waldspurger theorem.
17.
《Journal of Algebra》2007,307(1):300-305
Recent results of the author prove the existence of bijections of certain sets of irreducible characters which satisfy many nice properties. In particular, these correspondences imply a strengthened version of the McKay Conjecture for solvable finite groups which takes into account fields of values and Schur indices. In the present paper, we prove that these correspondences have also the additional property that the degree of the corresponding character divides the degree of the original character, and we say something about the quotient as well. 相似文献
18.
Topological sequential spaces are the fixed points of a Galois correspondence between collections of open sets and sequential convergence structures. The same procedure can be followed replacing open sets by other topological concepts, such as closure operators or (ultra)filter convergences. The fixed points of these other Galois correspondences are not topological spaces in general, but they can be embedded into the larger topological classes of pretopological, pseudotopological and convergence spaces. In this paper, we characterize the sequential convergences which are fixed points of these correspondences as well as their restrictions to topological spaces. 相似文献
19.
We prove the compatibility of local and global Langlands correspondences for , which was proved up to semisimplification in M. Harris and R. Taylor, The Geometry and Cohomology of Some Simple Shimura Varieties, Ann. of Math. Studies 151, Princeton Univ. Press, Princeton-Oxford, 2001. More precisely, for the -dimensional -adic representation of the Galois group of an imaginary CM-field attached to a conjugate self-dual regular algebraic cuspidal automorphic representation of , which is square integrable at some finite place, we show that Frobenius semisimplification of the restriction of to the decomposition group of a place of not dividing corresponds to by the local Langlands correspondence. If is square integrable for some finite place we deduce that is irreducible. We also obtain conditional results in the case .
20.