Results 11  20
of
5,679
ON THE MAP BETWEEN HOMOLOGY OF HENSELIZATION AND COMPLETION OF SOME LOCAL RINGS
"... Abstract. In this note we prove that the integral homology of the special linear group of the henselization of some local rings imbeds into the homology of the special linear group of the completion. We define henselian adele ring and prove that the integral homology of its special linear group inje ..."
Abstract
 Add to MetaCart
Abstract. In this note we prove that the integral homology of the special linear group of the henselization of some local rings imbeds into the homology of the special linear group of the completion. We define henselian adele ring and prove that the integral homology of its special linear group
ADELES IN MATHEMATICAL PHYSICS
, 707
"... on the occasion of his 60th birthday Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented. ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
on the occasion of his 60th birthday Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
AN ADELIC APPROACH TO INTERTWINERS
"... Abstract: In this paper, we give an adelic interpretation of Berrick’s theory on intertwiners and ideal class groups. The adelic method is not only theoretical, but also practical. It can be used to find the nontrivial intertwiners. We study also the primitive intertwiners. The main tool of this pa ..."
Abstract
 Add to MetaCart
Abstract: In this paper, we give an adelic interpretation of Berrick’s theory on intertwiners and ideal class groups. The adelic method is not only theoretical, but also practical. It can be used to find the nontrivial intertwiners. We study also the primitive intertwiners. The main tool
Adelic Model of Harmonic Oscillator
 arXiv:hepth/0402193; pAdic and Adelic Quantum Mechanics, Proc. V.A. Steklov Inst. Math. 245
, 1994
"... Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of them is a softening of the uncertainty relation. 1. ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of them is a softening of the uncertainty relation. 1.
An adelic resolution for homology sheaves
 Izvestiya: Mathematics 72:6 (2008), 133–202; arXiv:0705.2597
"... A generalization of the usual ideles group is proposed, namely, we construct certain adelic complexes for sheaves of Kgroups on schemes. More generally, such complexes are defined for any abelian sheaf on a scheme. We focus on the case when the sheaf is associated to the presheaf of a homology theo ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
A generalization of the usual ideles group is proposed, namely, we construct certain adelic complexes for sheaves of Kgroups on schemes. More generally, such complexes are defined for any abelian sheaf on a scheme. We focus on the case when the sheaf is associated to the presheaf of a homology
ADELIC HARMONIC OSCILLATOR
, 2004
"... Using the Weyl quantization we formulate onedimensional adelic quantum mechanics, which unifies and treats ordinary and padic quantum mechanics on an equal footing. As an illustration the corresponding harmonic oscillator is considered. It is a simple, exact and instructive adelic model. Eigenstat ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Using the Weyl quantization we formulate onedimensional adelic quantum mechanics, which unifies and treats ordinary and padic quantum mechanics on an equal footing. As an illustration the corresponding harmonic oscillator is considered. It is a simple, exact and instructive adelic model
Opuscula Mathematica pADIC BANACH SPACE OPERATORS AND ADELIC BANACH SPACE OPERATORS
"... Abstract. In this paper, we study nonArchimedean Banach ∗algebras Mp over the padic number fields Qp, and MQ over the adele ring AQ. We call elements of Mp, padic operators, for all primes p, respectively, call those of MQ, adelic operators. We characterize MQ in terms of Mp’s. Based on such a s ..."
Abstract
 Add to MetaCart
Abstract. In this paper, we study nonArchimedean Banach ∗algebras Mp over the padic number fields Qp, and MQ over the adele ring AQ. We call elements of Mp, padic operators, for all primes p, respectively, call those of MQ, adelic operators. We characterize MQ in terms of Mp’s. Based on such a
pAdic and Adelic Superanalysis
, 2005
"... After a brief review of padic numbers, adeles and their functions, we consider real, padic and adelic superalgebras, superspaces and superanalyses. A concrete illustration is given by means of the Grassmann algebra generated by two anticommuting elements. 1 ..."
Abstract
 Add to MetaCart
After a brief review of padic numbers, adeles and their functions, we consider real, padic and adelic superalgebras, superspaces and superanalyses. A concrete illustration is given by means of the Grassmann algebra generated by two anticommuting elements. 1
ADELES AND THE SPECTRUM OF COMPACT NILMANIFOLDS
"... Let G be a nilpotent Lie group and Γ a discrete cocompact subgroup of G. A basic problem in harmonic analysis is to determine the structure of L2(G/Γ). We apply adelic techniques to determine the decomposition of L2(G/Γ). To do so, we first develop a "rational " Kirillov theory for the a ..."
Abstract
 Add to MetaCart
Let G be a nilpotent Lie group and Γ a discrete cocompact subgroup of G. A basic problem in harmonic analysis is to determine the structure of L2(G/Γ). We apply adelic techniques to determine the decomposition of L2(G/Γ). To do so, we first develop a "rational " Kirillov theory
Results 11  20
of
5,679