Infinitesimal holomorphic realizations for the Schrödinger-Weil representation and the discrete series representations of the Jacobi group are constructed. Explicit expressions of the basic differential operators are obtained. The squeezed states for the unitary irreducible representation of the Jacobi group are introduced. Matrix elements of the squeezed operators, expectation values of polyno...

Let $k'/k$ be a finite purely inseparable field extension and let $G'$ reductive $k'$-group. We denote by $G=\R_{k'/k}(G')$ the Weil restriction of across $k'/k$, pseudo-reductive group. This article gives bounds for exponent geometric unipotent radical $\RR_{u}(G_{\bar{k}})$ in terms invariants starting with case $G'=\GL_n$ applying these results to where is simple

In this paper we investigate divisibility properties of two families of sequences in the Mordell–Weil group of elliptic curves over number fields without complex multiplication. We also consider more general groups of Mordell–Weil type. M. Ward ([W], Theorem 1.) proved that a linear integral recurring sequence of order two which is not nontrivially degenerate has an infinite number of distinct ...

Moduli spaces of general polarized algebraic varieties are studied extensively by algebraic geometers. However, there are two classes of moduli spaces where the methods of differential geometry are equally powerful. These are the moduli spaces of curves and the moduli spaces of polarized Calabi-Yau manifolds. Both spaces are complex orbifolds. The Weil-Petersson metric is the main tool for inve...

Given a compact topological surface V with negative Euler characteristic, the Teichmüller space Teich(V ) describes the marked Riemann metrics (with constant curvature κ = −1) which it supports. More precisely, Teich(V ) is the set of equivalence classes (Vg, φ), where Vg is a hyperbolic surface with Riemann metric g and φ : V → Vg is a homeomorphism, with (Vg1 , φ1) equivalent to (Vg2 , φ2) if...

INTRODUCTION A Weil osteotomy with internal fixation can match the preoperative plan by precisely setting the metatarsal length; however 10 to 30% of patients end up experiencing postoperative stiffness. A percutaneous distal metatarsal mini-invasive osteotomy (DMMO) is a purely extra-articular technique; metatarsal length is set automatically upon weight bearing of the foot. The goal of this s...

The variety DA of finite monoids has a huge number of different characterizations, ranging from two-variable first-order logic FO to unambiguous polynomials. In order to study the structure of the subvarieties of DA, Trotter and Weil considered the intersection of varieties of finite monoids with bands, i.e., with idempotent monoids. The varieties of idempotent monoids are very well understood ...