[PDF] Top 20 sigma07-066. 1424KB Jun 04 2011 12:10:04 AM

... In the case of usual geodesic functions, there exists a very convenient representation in which one can apply classical skein and Poisson relations in classical case or the quantum skein relation in the quantum case and ... Lihat dokumen lengkap

... In 1992, one year after Zhedanov’s paper [16], Cherednik [2] introduced double affine Hecke algebras associated with root systems (DAHA’s). This was the first of an important series of papers by the same author, where a ... Lihat dokumen lengkap

... In a very recent paper [22], which I have seen before publication thanks to the kindness of M. Rahman, they take a huge step and consider the case of several variables. I propose to call these statistical models with the ... Lihat dokumen lengkap

... A representationT of the associative algebra so′ qr, s is an algebraic homomorphism from so′qr, s into an algebra of linear bounded or unbounded operators on a Hilbert spaceHfor which t[r] ... Lihat dokumen lengkap

... Theorem 2 means that the existence of a (not necessarily globally defined) weakly nonlocal γ such that (12) holds is a necessary and sufficient condition for a weakly nonlocal J to be symplectic. An important ... Lihat dokumen lengkap

... As shown in [10], soliton solutions of integrable hierarchies with the complex values of spectral variables are connected to the intrinsic Coulomb gases on two dimensional lattices with some nontrivial dielectric ... Lihat dokumen lengkap

... Under a suitable affine transformation of the coordinate x∈Cn which keeps the algebraCh ∂k2niinvariant,P is transformed into an integrable Schr¨odinger operator studied in Sections3,4[r] ... Lihat dokumen lengkap

... We denote by ω(t, z) the universal weight function of the Gaudin type associated with the weight subspace M(z)[m]. The universal weight function of the Gaudin type is defined in [12]. A convenient formula for ω(t, ... Lihat dokumen lengkap

... invariant then so is the orthogonal complement, V ⊥ , of V . If such a V exists the holonomy group Φ of M is called reducible (otherwise, irreducible). (This concept of holonomy reducibility is a little more complicated ... Lihat dokumen lengkap

... quantum symmetries as differential operators. Systems of 2nd order have been well studied and there is now a structure and classification theory [3, 4, 5, 6, 7, 8]. For 3rd and higher order superintegrable systems much ... Lihat dokumen lengkap

... The arithmetical properties of EDS and Somos sequences – in particular the distribution of primes therein – are a subject of current interest [10, 11, 49]. Some of these properties are discussed in the book ... Lihat dokumen lengkap

... of compact groups G. In particular, they were effectively used for different calculations in representation theory [7, 8, 9, 10, 11]. They are constituents of traces (characters) of irreducible unitary ... Lihat dokumen lengkap

... The study of possible generalizations to Finsler manifolds should be seen as a first step towards further generalizations to arbitrary metric tensor fields along the tangent bundle proje[r] ... Lihat dokumen lengkap

... In this paper we consider some particular super-integrable systems, associated with a par- ticular Laplace–Beltrami operator in 2-dimensions. One of the examples is in the Krall–Sheffer classification of ‘admissible ... Lihat dokumen lengkap

... The set of known maximally superintegrable systems on the N -dimensional (N D) Euclidean space is very limited: it comprises the isotropic harmonic oscillator with N centrifugal terms (the so-called ... Lihat dokumen lengkap

... In the case of a Hilbert space H, Dito [6] defines deformation quantization on a Hilbert space H⊕H∗ endowed with its constant canonical symplectic structure and he defines a Moyal produc[r] ... Lihat dokumen lengkap

... Key words: Bach flat metrics; bubble tree structure; degeneration of metrics; conformally compact; Einstein; renormalized volume 2000 Mathematics Subject Classification: 53A30; 53C20; 3[r] ... Lihat dokumen lengkap

... Hochschild cohomology is a basic tool in the deformation theory of algebras. Gerstenhaber has remarked that in his seminal work (we refer to [15] and references therein for that). Deformation quantization [2, 3] in ... Lihat dokumen lengkap

... Sobolev and Hardy type inequalities play an important role in many areas of mathematics and mathematical physics. They have become standard tools in existence and regularity theories for solutions to partial differential ... Lihat dokumen lengkap

... The derivation deduces Branson’s formula from knowledge of the correspon-ding conformally invariant operator on Euclidean space the k-th power of the Euclidean Laplacian via conjugation [r] ... Lihat dokumen lengkap